{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Chap5 Classification"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Naive Bayes"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-04-23T16:10:44.051076Z",
     "start_time": "2019-04-23T16:10:43.813Z"
    }
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Loading required package: MASS\n"
     ]
    }
   ],
   "source": [
    "library(klaR)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-04-23T16:10:44.562911Z",
     "start_time": "2019-04-23T16:10:43.833Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "'data.frame':\t45342 obs. of  21 variables:\n",
      " $ X                : int  1 2 3 4 5 6 7 8 9 10 ...\n",
      " $ status           : Factor w/ 3 levels \"Charged Off\",..: 1 1 1 1 1 1 1 1 1 1 ...\n",
      " $ loan_amnt        : int  2500 5600 5375 9000 10000 21000 6000 15000 5000 5000 ...\n",
      " $ term             : Factor w/ 2 levels \"36 months\",\"60 months\": 2 2 2 1 1 1 1 1 2 1 ...\n",
      " $ annual_inc       : int  30000 40000 15000 30000 100000 105000 76000 60000 50004 100000 ...\n",
      " $ dti              : num  1 5.55 18.08 10.08 7.06 ...\n",
      " $ payment_inc_ratio: num  2.39 4.57 9.72 12.22 3.91 ...\n",
      " $ revol_bal        : int  1687 5210 9279 10452 11997 32135 5963 5872 4345 74351 ...\n",
      " $ revol_util       : num  9.4 32.6 36.5 91.7 55.5 90.3 29.7 57.6 59.5 62.1 ...\n",
      " $ purpose          : Factor w/ 12 levels \"car\",\"credit_card\",..: 1 10 9 3 9 3 6 3 9 3 ...\n",
      " $ home_ownership   : Factor w/ 4 levels \"MORTGAGE\",\"OTHER\",..: 4 3 4 4 4 4 4 4 4 1 ...\n",
      " $ delinq_2yrs_zero : int  1 1 1 1 1 1 1 1 0 1 ...\n",
      " $ pub_rec_zero     : int  1 1 1 1 1 1 1 1 1 1 ...\n",
      " $ open_acc         : int  3 11 2 4 14 7 7 7 14 17 ...\n",
      " $ grade            : num  4.8 1.4 6 4.2 5.4 5.8 5.6 4.4 3.4 7 ...\n",
      " $ outcome          : Factor w/ 2 levels \"default\",\"paid off\": 1 1 1 1 1 1 1 1 1 1 ...\n",
      " $ emp_length       : int  1 5 1 1 4 11 2 10 3 11 ...\n",
      " $ purpose_         : Factor w/ 7 levels \"credit_card\",..: 4 7 6 2 6 2 4 2 6 2 ...\n",
      " $ home_            : Factor w/ 3 levels \"MORTGAGE\",\"OWN\",..: 3 2 3 3 3 3 3 3 3 1 ...\n",
      " $ emp_len_         : Factor w/ 2 levels \" < 1 Year\",\" > 1 Year\": 2 2 2 2 2 2 2 2 2 2 ...\n",
      " $ borrower_score   : num  0.65 0.8 0.6 0.5 0.55 0.4 0.7 0.5 0.45 0.5 ...\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<thead><tr><th scope=col>X</th><th scope=col>status</th><th scope=col>loan_amnt</th><th scope=col>term</th><th scope=col>annual_inc</th><th scope=col>dti</th><th scope=col>payment_inc_ratio</th><th scope=col>revol_bal</th><th scope=col>revol_util</th><th scope=col>purpose</th><th scope=col>⋯</th><th scope=col>delinq_2yrs_zero</th><th scope=col>pub_rec_zero</th><th scope=col>open_acc</th><th scope=col>grade</th><th scope=col>outcome</th><th scope=col>emp_length</th><th scope=col>purpose_</th><th scope=col>home_</th><th scope=col>emp_len_</th><th scope=col>borrower_score</th></tr></thead>\n",
       "<tbody>\n",
       "\t<tr><td>1                                                     </td><td>Charged Off                                           </td><td>2500                                                  </td><td>60 months                                             </td><td>30000                                                 </td><td> 1.00                                                 </td><td>2.3932                                                </td><td>1687                                                  </td><td> 9.4                                                  </td><td><span style=white-space:pre-wrap>car           </span></td><td>⋯                                                     </td><td>1                                                     </td><td>1                                                     </td><td> 3                                                    </td><td>4.8                                                   </td><td>default                                               </td><td>1                                                     </td><td>major_purchase                                        </td><td>RENT                                                  </td><td> &gt; 1 Year                                          </td><td>0.65                                                  </td></tr>\n",
       "\t<tr><td>2             </td><td>Charged Off   </td><td>5600          </td><td>60 months     </td><td>40000         </td><td> 5.55         </td><td>4.5717        </td><td>5210          </td><td>32.6          </td><td>small_business</td><td>⋯             </td><td>1             </td><td>1             </td><td>11            </td><td>1.4           </td><td>default       </td><td>5             </td><td>small_business</td><td>OWN           </td><td> &gt; 1 Year  </td><td>0.80          </td></tr>\n",
       "\t<tr><td>3                                                     </td><td>Charged Off                                           </td><td>5375                                                  </td><td>60 months                                             </td><td>15000                                                 </td><td>18.08                                                 </td><td>9.7160                                                </td><td>9279                                                  </td><td>36.5                                                  </td><td><span style=white-space:pre-wrap>other         </span></td><td>⋯                                                     </td><td>1                                                     </td><td>1                                                     </td><td> 2                                                    </td><td>6.0                                                   </td><td>default                                               </td><td>1                                                     </td><td><span style=white-space:pre-wrap>other         </span></td><td>RENT                                                  </td><td> &gt; 1 Year                                          </td><td>0.60                                                  </td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "\\begin{tabular}{r|lllllllllllllllllllll}\n",
       " X & status & loan\\_amnt & term & annual\\_inc & dti & payment\\_inc\\_ratio & revol\\_bal & revol\\_util & purpose & ⋯ & delinq\\_2yrs\\_zero & pub\\_rec\\_zero & open\\_acc & grade & outcome & emp\\_length & purpose\\_ & home\\_ & emp\\_len\\_ & borrower\\_score\\\\\n",
       "\\hline\n",
       "\t 1                & Charged Off      & 2500             & 60 months        & 30000            &  1.00            & 2.3932           & 1687             &  9.4             & car              & ⋯                & 1                & 1                &  3               & 4.8              & default          & 1                & major\\_purchase & RENT             &  > 1 Year        & 0.65            \\\\\n",
       "\t 2                & Charged Off      & 5600             & 60 months        & 40000            &  5.55            & 4.5717           & 5210             & 32.6             & small\\_business & ⋯                & 1                & 1                & 11               & 1.4              & default          & 5                & small\\_business & OWN              &  > 1 Year        & 0.80            \\\\\n",
       "\t 3              & Charged Off    & 5375           & 60 months      & 15000          & 18.08          & 9.7160         & 9279           & 36.5           & other          & ⋯              & 1              & 1              &  2             & 6.0            & default        & 1              & other          & RENT           &  > 1 Year      & 0.60          \\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "| X | status | loan_amnt | term | annual_inc | dti | payment_inc_ratio | revol_bal | revol_util | purpose | ⋯ | delinq_2yrs_zero | pub_rec_zero | open_acc | grade | outcome | emp_length | purpose_ | home_ | emp_len_ | borrower_score |\n",
       "|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|\n",
       "| 1              | Charged Off    | 2500           | 60 months      | 30000          |  1.00          | 2.3932         | 1687           |  9.4           | car            | ⋯              | 1              | 1              |  3             | 4.8            | default        | 1              | major_purchase | RENT           |  > 1 Year      | 0.65           |\n",
       "| 2              | Charged Off    | 5600           | 60 months      | 40000          |  5.55          | 4.5717         | 5210           | 32.6           | small_business | ⋯              | 1              | 1              | 11             | 1.4            | default        | 5              | small_business | OWN            |  > 1 Year      | 0.80           |\n",
       "| 3              | Charged Off    | 5375           | 60 months      | 15000          | 18.08          | 9.7160         | 9279           | 36.5           | other          | ⋯              | 1              | 1              |  2             | 6.0            | default        | 1              | other          | RENT           |  > 1 Year      | 0.60           |\n",
       "\n"
      ],
      "text/plain": [
       "  X status      loan_amnt term      annual_inc dti   payment_inc_ratio\n",
       "1 1 Charged Off 2500      60 months 30000       1.00 2.3932           \n",
       "2 2 Charged Off 5600      60 months 40000       5.55 4.5717           \n",
       "3 3 Charged Off 5375      60 months 15000      18.08 9.7160           \n",
       "  revol_bal revol_util purpose        ⋯ delinq_2yrs_zero pub_rec_zero open_acc\n",
       "1 1687       9.4       car            ⋯ 1                1             3      \n",
       "2 5210      32.6       small_business ⋯ 1                1            11      \n",
       "3 9279      36.5       other          ⋯ 1                1             2      \n",
       "  grade outcome emp_length purpose_       home_ emp_len_  borrower_score\n",
       "1 4.8   default 1          major_purchase RENT   > 1 Year 0.65          \n",
       "2 1.4   default 5          small_business OWN    > 1 Year 0.80          \n",
       "3 6.0   default 1          other          RENT   > 1 Year 0.60          "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "loan_data <- read.csv('../psds_data/loan_data.csv')\n",
    "str(loan_data)\n",
    "head(loan_data, 3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-04-23T16:10:44.735299Z",
     "start_time": "2019-04-23T16:10:43.847Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "$purpose\n",
       "          var\n",
       "grouping           car credit_card debt_consolidation home_improvement\n",
       "  default  0.013629747 0.151515152        0.575713467      0.051916545\n",
       "  paid off 0.020731331 0.187596489        0.552159146      0.063164395\n",
       "          var\n",
       "grouping         house major_purchase     medical      moving       other\n",
       "  default  0.007895549    0.023642539 0.014335495 0.010850867 0.087556791\n",
       "  paid off 0.008336642    0.032861365 0.014247276 0.009262935 0.070574743\n",
       "          var\n",
       "grouping   small_business    vacation     wedding\n",
       "  default     0.045741255 0.006969256 0.010233338\n",
       "  paid off    0.020995986 0.006263508 0.013806184\n",
       "\n",
       "$home_\n",
       "          var\n",
       "grouping    MORTGAGE       OWN      RENT\n",
       "  default  0.4313440 0.0832782 0.4853778\n",
       "  paid off 0.4894800 0.0808963 0.4296237\n",
       "\n",
       "$emp_len_\n",
       "          var\n",
       "grouping     < 1 Year   > 1 Year\n",
       "  default  0.04728508 0.95271492\n",
       "  paid off 0.03105289 0.96894711\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "naive_model <- NaiveBayes(outcome ~ purpose + home_ + emp_len_, \n",
    "                         data = na.omit(loan_data))\n",
    "naive_model$table"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "注意上面显示的结果是条件概率`P(Xj|Y=i)`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-04-23T16:10:44.764823Z",
     "start_time": "2019-04-23T16:10:43.856Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<thead><tr><th scope=col>purpose_</th><th scope=col>home_</th><th scope=col>emp_len_</th></tr></thead>\n",
       "<tbody>\n",
       "\t<tr><td>small_business</td><td>MORTGAGE      </td><td> &gt; 1 Year  </td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "\\begin{tabular}{r|lll}\n",
       " purpose\\_ & home\\_ & emp\\_len\\_\\\\\n",
       "\\hline\n",
       "\t small\\_business & MORTGAGE         &  > 1 Year       \\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "| purpose_ | home_ | emp_len_ |\n",
       "|---|---|---|\n",
       "| small_business | MORTGAGE       |  > 1 Year      |\n",
       "\n"
      ],
      "text/plain": [
       "  purpose_       home_    emp_len_ \n",
       "1 small_business MORTGAGE  > 1 Year"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 对new_load进行预测\n",
    "new_loan <- loan_data[147, c('purpose_', 'home_', 'emp_len_')]\n",
    "row.names(new_loan) <- NULL\n",
    "new_loan"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-04-23T16:10:44.799033Z",
     "start_time": "2019-04-23T16:10:43.862Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<dl>\n",
       "\t<dt>$class</dt>\n",
       "\t\t<dd>paid off\n",
       "<details>\n",
       "\t<summary style=display:list-item;cursor:pointer>\n",
       "\t\t<strong>Levels</strong>:\n",
       "\t</summary>\n",
       "\t<ol class=list-inline>\n",
       "\t\t<li>'default'</li>\n",
       "\t\t<li>'paid off'</li>\n",
       "\t</ol>\n",
       "</details></dd>\n",
       "\t<dt>$posterior</dt>\n",
       "\t\t<dd><table>\n",
       "<thead><tr><th scope=col>default</th><th scope=col>paid off</th></tr></thead>\n",
       "<tbody>\n",
       "\t<tr><td>0.4657639</td><td>0.5342361</td></tr>\n",
       "</tbody>\n",
       "</table>\n",
       "</dd>\n",
       "</dl>\n"
      ],
      "text/latex": [
       "\\begin{description}\n",
       "\\item[\\$class] paid off\n",
       "\\emph{Levels}: \\begin{enumerate*}\n",
       "\\item 'default'\n",
       "\\item 'paid off'\n",
       "\\end{enumerate*}\n",
       "\n",
       "\\item[\\$posterior] \\begin{tabular}{ll}\n",
       " default & paid off\\\\\n",
       "\\hline\n",
       "\t 0.4657639 & 0.5342361\\\\\n",
       "\\end{tabular}\n",
       "\n",
       "\\end{description}\n"
      ],
      "text/markdown": [
       "$class\n",
       ":   paid off\n",
       "**Levels**: 1. 'default'\n",
       "2. 'paid off'\n",
       "\n",
       "\n",
       "\n",
       "$posterior\n",
       ":   \n",
       "| default | paid off |\n",
       "|---|---|\n",
       "| 0.4657639 | 0.5342361 |\n",
       "\n",
       "\n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "$class\n",
       "[1] paid off\n",
       "Levels: default paid off\n",
       "\n",
       "$posterior\n",
       "       default  paid off\n",
       "[1,] 0.4657639 0.5342361\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "predict(naive_model, new_loan)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Discriminant Analysis"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-04-23T16:10:44.817662Z",
     "start_time": "2019-04-23T16:10:43.867Z"
    }
   },
   "outputs": [],
   "source": [
    "library(MASS)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-04-23T16:10:44.877929Z",
     "start_time": "2019-04-23T16:10:43.874Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "'data.frame':\t3000 obs. of  6 variables:\n",
      " $ X                : int  32109 16982 25335 34580 14424 35621 9920 42095 25219 26196 ...\n",
      " $ outcome          : Factor w/ 2 levels \"default\",\"paid off\": 2 1 2 2 1 2 1 2 2 2 ...\n",
      " $ purpose_         : Factor w/ 7 levels \"credit_card\",..: 2 1 2 4 2 2 2 2 2 2 ...\n",
      " $ dti              : num  21.2 15.5 27.3 21.1 16.5 ...\n",
      " $ borrower_score   : num  0.4 0.4 0.7 0.4 0.45 0.5 0.4 0.4 0.55 0.45 ...\n",
      " $ payment_inc_ratio: num  5.11 5.43 9.23 2.33 12.1 ...\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<thead><tr><th scope=col>X</th><th scope=col>outcome</th><th scope=col>purpose_</th><th scope=col>dti</th><th scope=col>borrower_score</th><th scope=col>payment_inc_ratio</th></tr></thead>\n",
       "<tbody>\n",
       "\t<tr><td>32109             </td><td>paid off          </td><td>debt_consolidation</td><td>21.23             </td><td>0.4               </td><td>5.11135           </td></tr>\n",
       "\t<tr><td>16982             </td><td>default           </td><td>credit_card       </td><td>15.49             </td><td>0.4               </td><td>5.43165           </td></tr>\n",
       "\t<tr><td>25335             </td><td>paid off          </td><td>debt_consolidation</td><td>27.30             </td><td>0.7               </td><td>9.23003           </td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "\\begin{tabular}{r|llllll}\n",
       " X & outcome & purpose\\_ & dti & borrower\\_score & payment\\_inc\\_ratio\\\\\n",
       "\\hline\n",
       "\t 32109                & paid off             & debt\\_consolidation & 21.23                & 0.4                  & 5.11135             \\\\\n",
       "\t 16982                & default              & credit\\_card        & 15.49                & 0.4                  & 5.43165             \\\\\n",
       "\t 25335                & paid off             & debt\\_consolidation & 27.30                & 0.7                  & 9.23003             \\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "| X | outcome | purpose_ | dti | borrower_score | payment_inc_ratio |\n",
       "|---|---|---|---|---|---|\n",
       "| 32109              | paid off           | debt_consolidation | 21.23              | 0.4                | 5.11135            |\n",
       "| 16982              | default            | credit_card        | 15.49              | 0.4                | 5.43165            |\n",
       "| 25335              | paid off           | debt_consolidation | 27.30              | 0.7                | 9.23003            |\n",
       "\n"
      ],
      "text/plain": [
       "  X     outcome  purpose_           dti   borrower_score payment_inc_ratio\n",
       "1 32109 paid off debt_consolidation 21.23 0.4            5.11135          \n",
       "2 16982 default  credit_card        15.49 0.4            5.43165          \n",
       "3 25335 paid off debt_consolidation 27.30 0.7            9.23003          "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "loan3000 <- read.csv('../psds_data/loan3000.csv')\n",
    "str(loan3000)\n",
    "head(loan3000, 3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-04-23T16:10:44.913590Z",
     "start_time": "2019-04-23T16:10:43.881Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<thead><tr><th></th><th scope=col>LD1</th></tr></thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>borrower_score</th><td> 7.17583880</td></tr>\n",
       "\t<tr><th scope=row>payment_inc_ratio</th><td>-0.09967559</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "\\begin{tabular}{r|l}\n",
       "  & LD1\\\\\n",
       "\\hline\n",
       "\tborrower\\_score &  7.17583880\\\\\n",
       "\tpayment\\_inc\\_ratio & -0.09967559\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "| <!--/--> | LD1 |\n",
       "|---|---|\n",
       "| borrower_score |  7.17583880 |\n",
       "| payment_inc_ratio | -0.09967559 |\n",
       "\n"
      ],
      "text/plain": [
       "                  LD1        \n",
       "borrower_score     7.17583880\n",
       "payment_inc_ratio -0.09967559"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "loan_lda <- lda(outcome ~ borrower_score + payment_inc_ratio, \n",
    "               data = loan3000)\n",
    "loan_lda$scaling"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-04-23T16:10:44.942739Z",
     "start_time": "2019-04-23T16:10:43.886Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Call:\n",
       "lda(outcome ~ borrower_score + payment_inc_ratio, data = loan3000)\n",
       "\n",
       "Prior probabilities of groups:\n",
       "  default  paid off \n",
       "0.4816667 0.5183333 \n",
       "\n",
       "Group means:\n",
       "         borrower_score payment_inc_ratio\n",
       "default       0.4628028          8.861813\n",
       "paid off      0.5390675          7.465199\n",
       "\n",
       "Coefficients of linear discriminants:\n",
       "                          LD1\n",
       "borrower_score     7.17583880\n",
       "payment_inc_ratio -0.09967559"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "loan_lda"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-04-23T16:10:44.996532Z",
     "start_time": "2019-04-23T16:10:43.894Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<thead><tr><th scope=col>default</th><th scope=col>paid off</th></tr></thead>\n",
       "<tbody>\n",
       "\t<tr><td>0.5535437</td><td>0.4464563</td></tr>\n",
       "\t<tr><td>0.5589534</td><td>0.4410466</td></tr>\n",
       "\t<tr><td>0.2726962</td><td>0.7273038</td></tr>\n",
       "\t<tr><td>0.5062538</td><td>0.4937462</td></tr>\n",
       "\t<tr><td>0.6099525</td><td>0.3900475</td></tr>\n",
       "\t<tr><td>0.4107406</td><td>0.5892594</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "\\begin{tabular}{r|ll}\n",
       " default & paid off\\\\\n",
       "\\hline\n",
       "\t 0.5535437 & 0.4464563\\\\\n",
       "\t 0.5589534 & 0.4410466\\\\\n",
       "\t 0.2726962 & 0.7273038\\\\\n",
       "\t 0.5062538 & 0.4937462\\\\\n",
       "\t 0.6099525 & 0.3900475\\\\\n",
       "\t 0.4107406 & 0.5892594\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "| default | paid off |\n",
       "|---|---|\n",
       "| 0.5535437 | 0.4464563 |\n",
       "| 0.5589534 | 0.4410466 |\n",
       "| 0.2726962 | 0.7273038 |\n",
       "| 0.5062538 | 0.4937462 |\n",
       "| 0.6099525 | 0.3900475 |\n",
       "| 0.4107406 | 0.5892594 |\n",
       "\n"
      ],
      "text/plain": [
       "  default   paid off \n",
       "1 0.5535437 0.4464563\n",
       "2 0.5589534 0.4410466\n",
       "3 0.2726962 0.7273038\n",
       "4 0.5062538 0.4937462\n",
       "5 0.6099525 0.3900475\n",
       "6 0.4107406 0.5892594"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Predictions\n",
    "pred <- predict(loan_lda)\n",
    "head(pred$posterior)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-04-23T16:10:45.023033Z",
     "start_time": "2019-04-23T16:10:43.898Z"
    }
   },
   "outputs": [],
   "source": [
    "lda_df <- cbind(loan3000, prob_default=pred$posterior[,'default'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-04-23T16:10:45.075286Z",
     "start_time": "2019-04-23T16:10:43.907Z"
    }
   },
   "outputs": [],
   "source": [
    "# lda_df0(计算分界线)\n",
    "x <- seq(from=.33, to=.73, length=100)\n",
    "y <- seq(from=0, to=20, length=100)\n",
    "newdata <- data.frame(borrower_score=x, payment_inc_ratio=y)\n",
    "pred <- predict(loan_lda, newdata=newdata)\n",
    "lda_df0 <- cbind(newdata, outcome=pred$class)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-04-23T16:10:46.131331Z",
     "start_time": "2019-04-23T16:10:43.917Z"
    }
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Warning message:\n",
      "“Removed 18 rows containing missing values (geom_point).”"
     ]
    },
    {
     "data": {
      "image/png": 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ZP3J5kG/T00NNuaadbwB6mqpygi1aA4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h8QZpppaqV/P6ksmo6UTAwhoakt6GR1cG3+5XMc3Ilu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9bk2u3rPhppvJiLKyHwQykNSxRq0BJfATieL1oRGvUTyPeQ7SDTQaaDdAejp/ojrKpu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\n14h6LyB0cK7nepsBX0UlERrK4fBVn5m28ShVTSiCmaugxnK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37Pe96jtf7sZz+7z+/cfPPNH/7whye/NQzD9/0mXxsrmv1k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\nZnA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KWlSPETfGLOoeYl/YpfXrV6ekt0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\nHwUZjoPjcN0t3Pdhrr+F596dd0BXNJUq3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nM3r/4xbroj77DGRggLNEU343o4FVyPKDAI4bj4XQskRhPWzxJHVCeoNYkjFo9TrVsg+ZDI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\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fu6gd4661eKKVMhCCqENdavjjusEbAG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\nAAAASUVORK5CYII=",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "library(ggplot2)\n",
    "options(repr.plot.width=10, repr.plot.hight=7)\n",
    "ggplot(data=lda_df, aes(x=borrower_score, y=payment_inc_ratio, color=prob_default)) +\n",
    "  geom_point(alpha=.6) +\n",
    "  scale_color_gradient2(low='white', high='blue') +\n",
    "  scale_x_continuous(expand=c(0,0)) + \n",
    "  scale_y_continuous(expand=c(0,0), lim=c(0, 20)) + \n",
    "  geom_line(data=lda_df0, col='green', size=2, alpha=.8) +\n",
    "  theme_bw()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Logistic Regression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-04-23T16:10:46.510450Z",
     "start_time": "2019-04-23T16:10:43.926Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\n",
       "Call:  glm(formula = outcome ~ payment_inc_ratio + purpose_ + home_ + \n",
       "    emp_len_ + borrower_score, family = \"binomial\", data = loan_data)\n",
       "\n",
       "Coefficients:\n",
       "               (Intercept)           payment_inc_ratio  \n",
       "                  -1.63809                    -0.07974  \n",
       "purpose_debt_consolidation    purpose_home_improvement  \n",
       "                  -0.24937                    -0.40774  \n",
       "    purpose_major_purchase             purpose_medical  \n",
       "                  -0.22963                    -0.51048  \n",
       "             purpose_other      purpose_small_business  \n",
       "                  -0.62066                    -1.21526  \n",
       "                  home_OWN                   home_RENT  \n",
       "                  -0.04833                    -0.15732  \n",
       "         emp_len_ > 1 Year              borrower_score  \n",
       "                   0.35673                     4.61264  \n",
       "\n",
       "Degrees of Freedom: 45341 Total (i.e. Null);  45330 Residual\n",
       "Null Deviance:\t    62860 \n",
       "Residual Deviance: 57510 \tAIC: 57540"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "logistic_model <- glm(outcome ~ payment_inc_ratio + purpose_ + \n",
    "                        home_ + emp_len_ + borrower_score,\n",
    "                      data=loan_data, family='binomial')\n",
    "logistic_model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-04-23T16:10:46.565267Z",
     "start_time": "2019-04-23T16:10:43.932Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\n",
       "Call:\n",
       "glm(formula = outcome ~ payment_inc_ratio + purpose_ + home_ + \n",
       "    emp_len_ + borrower_score, family = \"binomial\", data = loan_data)\n",
       "\n",
       "Deviance Residuals: \n",
       "     Min        1Q    Median        3Q       Max  \n",
       "-2.15528  -1.07421   0.05853   1.06908   2.51951  \n",
       "\n",
       "Coefficients:\n",
       "                            Estimate Std. Error z value Pr(>|z|)    \n",
       "(Intercept)                -1.638092   0.073708 -22.224  < 2e-16 ***\n",
       "payment_inc_ratio          -0.079737   0.002487 -32.058  < 2e-16 ***\n",
       "purpose_debt_consolidation -0.249373   0.027615  -9.030  < 2e-16 ***\n",
       "purpose_home_improvement   -0.407743   0.046615  -8.747  < 2e-16 ***\n",
       "purpose_major_purchase     -0.229628   0.053683  -4.277 1.89e-05 ***\n",
       "purpose_medical            -0.510479   0.086780  -5.882 4.04e-09 ***\n",
       "purpose_other              -0.620663   0.039436 -15.738  < 2e-16 ***\n",
       "purpose_small_business     -1.215261   0.063320 -19.192  < 2e-16 ***\n",
       "home_OWN                   -0.048330   0.038036  -1.271    0.204    \n",
       "home_RENT                  -0.157320   0.021203  -7.420 1.17e-13 ***\n",
       "emp_len_ > 1 Year           0.356731   0.052622   6.779 1.21e-11 ***\n",
       "borrower_score              4.612638   0.083558  55.203  < 2e-16 ***\n",
       "---\n",
       "Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1\n",
       "\n",
       "(Dispersion parameter for binomial family taken to be 1)\n",
       "\n",
       "    Null deviance: 62857  on 45341  degrees of freedom\n",
       "Residual deviance: 57515  on 45330  degrees of freedom\n",
       "AIC: 57539\n",
       "\n",
       "Number of Fisher Scoring iterations: 4\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "summary(logistic_model)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-04-23T16:10:46.599174Z",
     "start_time": "2019-04-23T16:10:43.937Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "     Min.   1st Qu.    Median      Mean   3rd Qu.      Max. \n",
       "-3.509606 -0.505061  0.008539 -0.002564  0.518825  2.704774 "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pred <- predict(logistic_model)\n",
    "summary(pred)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "注意返回的$\\hat{Y}$不是概率值，$\\hat{p}$才是概率值：\n",
    "$$\\hat{p} = \\frac{1}{1+e^{-\\hat{Y}}}$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-04-23T16:10:46.724752Z",
     "start_time": "2019-04-23T16:10:43.944Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "   Min. 1st Qu.  Median    Mean 3rd Qu.    Max. \n",
       "0.02904 0.37635 0.50213 0.50000 0.62687 0.93731 "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "prob <- 1/(1+exp(-pred))\n",
    "summary(prob)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-04-23T16:10:52.946337Z",
     "start_time": "2019-04-23T16:10:43.950Z"
    }
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Loading required package: nlme\n",
      "This is mgcv 1.8-28. For overview type 'help(\"mgcv-package\")'.\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "\n",
       "Family: binomial \n",
       "Link function: logit \n",
       "\n",
       "Formula:\n",
       "outcome ~ s(payment_inc_ratio) + purpose_ + home_ + emp_len_ + \n",
       "    s(borrower_score)\n",
       "\n",
       "Estimated degrees of freedom:\n",
       "7.45 4.17  total = 21.61 \n",
       "\n",
       "UBRE score: 0.2681413     "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "library(mgcv)\n",
    "logistic_gam <- gam(outcome ~ s(payment_inc_ratio) + purpose_ + \n",
    "                      home_ + emp_len_ + s(borrower_score),\n",
    "                    data=loan_data, family='binomial')\n",
    "logistic_gam"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-04-23T16:10:54.278712Z",
     "start_time": "2019-04-23T16:10:43.957Z"
    }
   },
   "outputs": [],
   "source": [
    "terms <- predict(logistic_gam, type='terms')\n",
    "partial_resid <- resid(logistic_gam) + terms\n",
    "df <- data.frame(payment_inc_ratio = loan_data[, 'payment_inc_ratio'],\n",
    "                 terms = terms[, 's(payment_inc_ratio)'],\n",
    "                 partial_resid = partial_resid[, 's(payment_inc_ratio)'])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<span style=\"color:red\">WARNING: 关于`logistic_gam`模型这里有些问题，代码都是根据书上的代码来的，也没发现什么错误，但是下面的图和后面的Confusion matrix，ROC曲线都和书上的不同...一时找不出错误，等后面review的时候再找找看吧.</span>\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-04-23T16:10:55.797416Z",
     "start_time": "2019-04-23T16:10:43.966Z"
    }
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Warning message:\n",
      "“Removed 9 rows containing missing values (geom_point).”Warning message:\n",
      "“Removed 9 rows containing missing values (geom_path).”"
     ]
    },
    {
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h7pK8scQo/lRt3TSylFrfnxsLMjQrFykYzhBnBBKF0+bzvV3tKDKlMR+S0ty7l8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\nPjtnzpxoNFpQULBy5conn3zy7rvvzs7OXrZsmacmIj5l0CC44AK4+Wa4/Xa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jf/3rX7/73e96aiKCIOoMHvy55/DUqd4Y0dpa6wlpolGo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8Otra2LXau+BTacP39+cnLysssuqzfbY2pq\n6oYbbnjHO97helnvU/df/uVfPvCBDyAbBIC77roLAJ577rl8tRRkRFoyUGXyULUNMGoCq25F\neC8feuiheh4HgSAcLS3Q3Q333AM33+zkezMz8OMfw7598I1vgOx1JBAIBAJBfvARwuHh4T/4\ngz+gZ17zmtcAwNTUVLFKCVLC5AlZdlnAunmJzc4//RKy0KSAupoyVt0yrs+0Ytu2ba62imb4\nEv8pqAYWLYJrr4W774b/+B/hssvsZZAWfv3rcPp0dfUTCAQCgWB+IsGh2VS5m3CTa3NhQSVy\nsZ75Qkw+QLd0Hxwc7O/v54tCaZpYV6hkrbb4S5Udp+aoK0KVVpna7iYiWFhYtAje/na4+254\n//vBFbk6MwM/+Qns2wdf+5rQQoFAIBAIMqK+IlznDXKxnq1C+vv7U7E79V/tYj9YRldXV3b1\nrLqlYhoZRymXTSaqxnOEUAkEKdDcDNdcA3fdBf/pP0Fnp73M7Cz89Kewbx989avw+99XVz+B\nQCAQCOYPLDkqKP75n//54MGDiSdvu+22PJUSuKGoXRjQbbh69Wp1JlU+ErqPBT3GAj09PWll\nWkElBGRwcbkxc6RkprQa5ukJUKMKQyQQ5IDmZnjb2+Ctb4XnnoMjR+DUKUuZ2Vn453+G//t/\n4a1vhZ4eWLWq6loKBAKBQNDY8GUZ5QeIeoRkhGQZpfCY7GHW/ODg4JEjRyAbzzRlgpsQ1m2W\n0XqmQ9Yso/WscJ1AsowGoDZZRjmYnYXnn4cnn7TTQoWmJnjLW+Bd74LyO6/qQLKMBkCyjIZB\nsowGQLKMhkGyjAagcbOM+jyEX/rSl4rRShAIDwEI4wZFrA3bvn07rl00hQ8NDW3bti0XD5ti\nszlS2cZC9VPFBrTY39/f09MjxFWQA5qb4eqr4a1vheefh+99z04L4xieew6efx7e/GZ417ug\nMimaQCAQCAQCK3yE8IMf/GDV9BDAPPL5YC/6+/s1wrZlyxY8pr7EgCDG4JhSv84eMNviBM3W\nybXmqxGm7YKl64Ki0NQEb30rvOUt8MIL8L3vwcmTljJxDC+8AP/yL/BHfwTvehf8u39XdS0F\nAoFAIGgk1JdDc4Ej7ebymtu3uDyWmMbG04T5FSazoQWGhoaAkEB/l81vtVYSJeQyRP50plaZ\ntKR1z4Z6YINQN2oIBOmgQkP/83+G3l541avsZeIYXnwRvvAFOHQIfvGL6uonEAgEAkEjQQhh\nHQFpA80jGrb5RL7k0OXnSbU9nVJPeQhVLWa61Cykjkl4/B1Jy1rNjQqL4F11tY+FQFADNDXB\nVVfBxz4GH/oQvPrVzmIvvQSPPAKPPAInTlRROYFAIBAIGgZCCOsISBsoAaP5PClv8dOMgnZy\nz2sRoyqsspImKkYlB6wzdInilDfPVIGGMZuojnOvmrRTKK4gBE1N8OY3w/bt0Nfniw79xS/g\n8cchiuCFF6CwLGgCgUAgEDQifFlG6wGSZVRDnaw9C0aOWUarMxTWVqp8FaxZRmuFBpqBkmU0\nAPWbZZSJ48fhySfhV7/ylenshHe+E/74j2HRolzalCyjAZAso2GQLKMBkCyjYZAsowFo3Cyj\n9aWuIBFF2+L5emmYQaFhSByKxNY5Ia/WVqrMiNTCy4ceesi/hpN57TJe4rC+i/dPUCWsXQtb\nt8JHPgJ/+IfOMq+8At/4BuzeDU8/DRMT1dNNIBAIBIK6hBDCegffkk61os+FfBcimkGhuYCv\nWH9/v0kLmWG32bXCM4ODg1m4sVp4uW3btnp2zaVKOCQQFIuuLrjtNti6FdaudZY5fx6++U0Y\nGIBvfxsuXKiicgKBQCAQ1BeEENYpwmzosL3pE6Upqtnf35+Wc1r3IXz44Ychm/MwMYenQk9P\nz6FDh/g7H+TuOsMzmHDV2oS5TDGA2/PJrSdXahYfo399aT1TWcG8xeteB5s3w0c/ClddBU1N\n9jLj4/DUU7BrF3z96/C731VXP4FAIBAI6gJCCItCdn8dZzu7xKbDQiLNMorS4NZ/HMlWbNmy\nZevWrUAS52QcKObOE1o+nlRNcBhalkwwZlZSqGTjXEXdyGUahBUORt36FetWMYEdr3419PbC\nXXfBNdc4Fw3OzMBPfgIHDsChQ3DihGSdEQgEAsGCgiSVCUStksowoWX+wI/qoIZ5QfxJZZSp\nfeTIEWDvaR5Mm5nC1XAprXp6ejI2xNeWXiNMKjM0NFT9C1foCPvbzdioJJUJQMMnlfHj3Dl4\n5hn48Y9hctJXbNUq6O6Gt70NlizhSJWkMgGQpDJhkKQyAZCkMmGQpDIBkKQygvqCy5LOuB0F\nLaA5IfNawahckdqO9jk2kVYfMByk+cLVo3pIZoONBrfr6h0GDHMilgWC3LBiBWzcCJ/4BPzJ\nn4DHpD51Cv77f4eBAfjmN+HMmSrqJxAIBAJBDSCEsDGQ4/K2LCY4LaD8eFDJmrIoaQJ9U5pk\nykU57dYqxs9cHGhq61I+WOfqdJa50NHVOyT885L1SUxpvWPpUrjpJrj3XvgP/wEuu8xZbGwM\nnn4a9uyBv/97iSMVCAQCwTyGEMLGwJEjR6ypRwJEaZzEuiCQI5wT0mn1KKqkMkxVtY/a+joK\nlfMGbOZ4QZ69tHTIpQZqjpI9hRPBzLgTADq828swCwjmJcudh1i8GK67Dj7+cfjQh+B1r3MW\ni2N48UV4/HHYuxeOHoWRkSqqKBAIBAJBNSCEsDFgxitSczx7ckh099GT/Mw0/IbyhVrgp5oz\nh0jFJaqdJ2jcaV5N59UjU3NN1aGhoccee0yrZSXbVj05OmjSwq4grrcUZihoGDQ1wZvfDFu3\nwrZt8Na3+raqP30avvUteOAB+PKX4eWXxWEoEAgEgnkDIYSNDdOb5HEKIc0zC2hr9qCS8FDe\nxYE/DFJlGdXOr1+/PoBF+IMwVacOHTpEk8Ggr3Uw296AuYAqgCNsOkK3bNnykY98BIupA46/\n0VomkUn6ua7JXakQqws3Iz+s/tpRwULEa18LH/wg3HMP3HgjeFKFzczAc8/BY4/B3r3w5JNw\n7lwVVRQIBAKBoBBIltFA1GGW0UFeVsaMEYlZ5AwODpZKJZpl1KrzIEmFqv739/d7IlQ9QhL1\n4WTZqU4EoKctzDLa0tLiqeuqnii/bsGc0i5IltEAzPMso0xMTcGzz8IPfwi//W1CyaYm6OqK\n3/a2s69+9aWrV1dFuXkCyTIaBskyGgDJMhoGyTIaAMkyKigQTA8J03SmgaZhTjmkFtTbxtQQ\nN6Z3CQebl+nQoUNpoyI5o8EpowXTop65+6wSY1Afeugh8Pr0mKmD6gFM9RqLvgrmDxYvhmuv\nhY99DLZsSYgjjWN46aWmr361bd8++NrX4KWXYHa2iooKBAKBQJADhBDmjCIMcRdVSNWWyWHC\nVsFhrcHBQQzF1BY0ehYf4sb0KC2xOWvJwTLS6p8K27dv52+HGKwPs9a2bdvAHQXqF4JMu7gR\n4yiAyMj0sveizgmzoF7w+tfDBz8In/gEvPe94N1msGlyEn76Uzh0CB54AP7n/4Rf/lIWGQoE\nAoGgUSAho4HIHjKaMRwuQI4nsDCXAEtrc1oV/8b0WTBINpHHdnMZZFNIlvBLv0pWyYkho6bw\nLB3Pa2YGtOKPDTbr+lWVkNEASMioEx/nSYoAACAASURBVHEML70EP/4xvPgizMxoX46Pj+uP\ntUsugTe/Gd78Znj960EmoQEJGQ2DhIwGQEJGwyAhowGQkFFB9WB1tnBCN83AQkxq4oojNfOF\ncNQzmSeqZ2aUSQVPB6mvko6JlrgloNFE/hYsWevO+vXrw9y2CJdDNUwIVN2TxvTHevzG+esk\nECg0NcGVV0JvL/zlX8L73gerViWUP38evv99OHgQdu6Eb3wDXnwRpqaqoqhAIBAIBOnQAB7C\nu+66i2kmVhNTU1PDw8NtbW1Lly6tctNf+MIX7rjjji984Qvq4x133EG/UmdUGa2WVtgqOZVA\nvzRNW1V4bGysubm5tbX11ltvffTRRxOr5wvVKKr01FNP3XjjjQcPHrztttsSR4bTWa0wrcWR\ngGOidAMA9fHBBx/s6+u75JJLFjnWMqVSj49gsZzJVgQ0hS9cuNDe3u56S1fQoDU6zp8/Pzs7\nu3Llylor0gj49a+bnn0WnnsOxsYmJycTnQ9xSwusWQNr18ZveIM/AHUhYGZm5vz580uWLBFn\nVypMTk7OzMxU3/BoaExMTIyOjra3ty9ZsqTWujQSRkdHlyxZkhiaJKAYHh6emppasWJFHXoI\nb7zxRo+HsN4J4enTp++8884oimqtiI7Z2dmZmZnm5maXjV4oDh48+PTTT9OLevDgQQC47bbb\nrB/5YtXBbbfddvDgwccff7xUKqmPNBozTLjCzMxMU1OTdp9gu6rFMMlpQTtLz6i+P/300+98\n5zvVV7S/ij3mpQBt2iP2kUceKZVKjz/++O23355l8IvT0F83oHoumJmZKeL2zPES1GRY/Jie\nno7jWGKEUmB6uvnll+HZZxf/7GdNRiipC7OXXjq7Zs3smjWzr389LMgwtjiOp6ena/Ub2riY\nnZ2N41gGLRWUwbZo0aJ6s9HrHMrKbWpqqrUijYSZmZnZ2dmWlpZ6G7epqamNGzc2MCGcx2sI\noXIFlGs1FHNBV+KqqoAVgENDQwBw7NgxmpJEa8WzLtEKtYZQbbOuBB45coTuE2iiv7/fX6Bo\nDJa3vgCAw4cPv+ENb1Bjok7mopv/6phrCLWZgyUlLSdFva0hrM7izIyQNYQBiOP47Nmzly5d\nCv/6r/Dcc/Czn5mLDJ1obobXvAb+8A/hiitgIZFDWUMYBllDGABZQxgGWUMYgMZdQyiO4FrC\nkzsU2VfazSTMBWDmLg7qqyNHjnhica1Na61oGVD49q62pQSnitlcEbBSdPVf01OdpGxQUei1\na9eqk2mpskcTE/Sr6iSAgco3AnjePKkSw1ThYlUTuXRn3oyGwI62NrjmGrjmGhgdhRdfhBde\ngJdfTmaGs7Pw61/Dr38NTz0Fzc2wejW87nXw2tfCa18Ll10GdfaOWSAQCATzEvXFXxcyTEan\ndsBLlc1fO69InVYGv0KGgxlf8KOZt8Zqy2on1UeaxCVRc05q056eHiXWVCN7whgNaYmWVv7Y\nsWOHDh2i6W1Qsf7+fu3AJYffOhN4QbMPEd2VUSPMCGaaUKuGiSWtZ5gVswBvJclbI0jGsmXw\n9rfD5s3wqU/Bn/85vOUtXL/f7Cz89rfwwx/CV78Ke/fCf/2vcOgQfPvb8PzzcPq07GMhEAgE\ngoIgHsJ6BHVJmSGaAUTFLODy+XiqMKHUtqZCDW5Co4IqUBMA1H/E+vXrt2zZghy45g4ZOrZI\nkyhf0i4r+tby1dwlLdFLTCUoLkQLmz5nq6+YM8E8oqzKJCqsip07d45Tko+8rktDxI4KckBb\nG1x9NVx9NczMwC9+Af/v/8Hx4/D733Orj43BSy/BSy/NfVyyBFatgle9Cjo7YfVquPxyWLlS\nXIgAAFNTMD0N4+MXD6anYWoKJidhdhbGx2F2FiYm5v4DwPg4AMyVUdWVIzeO575CzMw4c8M2\nNek8f8kSUEv7mptBJS9ZvBhaWuZKNjfP/V+yBFpaYPFiaG2FlhZYsgRaW2Hx4rkDVUYgEAiq\nCyGEjQEzTs88HybQekBDAf3kyq8A8o1gC9hay+rb3L59O/VfaYTEs7TS0wt/3WBQ/y3VVuNm\n2O7Q0NDU1NSPf/zjxx9/PKw5qytPob+//+jRo/fddx/VxETiCBw5cmQ7L845ccxTtZsK/ktZ\nNZ6W7zuLOnn9IfBh0SLo6oKuLti4Ec6cgRMn4OWX4Wc/0+mHH5OT8G//Bv/2bxfPtLTApZfC\nZZfBpZfCypWwciWsWAGXXAINusBMUbiJCRgfh4mJi3+TkxfPTE3NFZicnCs/Pl4z3+noaCFi\nFVdUf21tsHTpxYO2tqZFi5qXLIFLL4Vly2DZsoWz6FQgEBQKSSoTiFySyhQNjoGbWGZwcHDH\njh2rV68+duxY2tYVIaRNYFIZXG4HKR1EzKaVhPXr1wOAS3OMOHV5yQoihJ62rF+ppDL33ntv\nU1PT8ePHsTs0pQ1l75Bt4WIu/fWk2zEJDN9XaYWLEe3evbutre2jH/1oFiFh+jQuPZOkMgGY\nSyqTdieJ2Vn4zW/gZz+DX/wCfvnLOedVLmhpgeXLYflyaG+Hjo455rBs2UV20doKS5ZAW1tu\nLSooD5vyqk1MwMzMHJ1D5qbOT07C+Pjs+Pjo2bMtMzNtTU1zfG92Nmd95iNUDsOLeT4WLYKl\nSy9e4vb2iwfq0re3N+oLgvwgSWXCIEllAtC4SWWEEAaiDgmhP6w0RyNV8Sgrl0usGEVRc3Nz\nW9kQQSsco0DNLpiaB/fFTMhppQGag5RqYhb2N+f3PTIV3rx5s5ZlVOsOzdSaY1JWf1wxp7qr\nbi6cH5KuBRLCVG9G6sThVitW6SGEDU10C0UgIaSYnYXf/Q5++Uv41a/gV7+CvKOdnVAxja2t\n0NQ0dwwk4tEERlcCzLnmZmdhctISbJmEOI7HxsZaWlpka7hU0AkhB83Nc7QQ3xF0dEB7+5wz\n+ZJLnJd7vkAIYRiEEAZACGFREELIh2aupbXeAspDertZeQgVIfSwvsQ4z7w4BuU86sx2Iw0P\nDfBTBzQUFkg2Hc0dmhe1wG0n1EYgfpmDg4NDQ0NbtmyBMtMO9rzVM7SxtV5967YTYRclx7cS\ndQ7xEAYgB0KoYXh4Ljr0N7+B3/wGhodzk1w3EEIYhhBCmIglS+CSS6Cj4+J/5WFWf42/L7kQ\nwjAIIQxA4xLChr/PFwg41qergJZqxVUyFcXy8zcPkVM73ZstauXVgjTN3Ne8iEBcZNZ2OYGI\n2io+7dh122AyG//4uPQMBqe6toTPzGGzfv16urdkFn2gGF7EmXjWCYNlzAKuivxxqDcXomA+\no6MD3vhGeOMb5z4OD8NvfwsnT8KpU3DyJLzySp7xpfMY1P/Z1jb3H2AucYuW+kVBFaZQFZua\n9JWKZowr+khnZmByEqDsUFUf43gujFbF0M7M1HL1o4bJSXjlFXjlFfu3yrV4ySX634oVIFRB\nIJgvEA9hIKrpIcxocw+WN383v8oSeOnnflhyaGiILuGjHkIsE+DJNFku2LqD/rGM7lM/NC+c\ny4EJJPxS26zPH5xpbkyfFqbYxPWThSI4uUuqC1fcxvSFTqcw5KWDeAgDkL+HMBHnz8Pvfw+/\n/z2cPg1nzsCZM3DuHIyNVU+BzGB5CBctqkivQrOtLFkCixdDWxssWXLxWGXvbGuDRYsaIwxS\nZTpVqysnJ2FyEsbG5jLrqL/x8Yt/Y2MwPj49PBzn7iEMxtKlc8wQKSL+rye/ongIwyAewgCI\nh1BQILK7lazGK50TqaxJf5welQkkoYv6ODk5uW3bNuWkStcNIkSJNaM9kfqqdKOHDh1CtlOo\nvW7ds16DGYlqllQuUD7fTgsqzbo7SL7wrGb0d4q6+6wVA4Yl35EMY7OFouaMVFBVKPt7zZqK\nkxMTcO4cnDsHw8Nw/jyMjMCFCzA6CiMjMDYGY2M1y9qidlxQtK3M6OKWlunJSWhvX3LZZRc5\nHnI/dVBPpKIQtLRASwssXcqvMTM+Pn3hwuLmZhgbg9HRuf94lUdGLh5XAWpe/e53lq9U6OmK\nFXN/eNzRIXulCAR1CPEQBqKGawg9EWth6wAV+BWD3TtQ9hDecccdhw4dQseaa51bLra1YokA\ngB45moIlrai8zG7qJwTbWkRaTHkIv/zlLx89epRqnt117Kne399//PjxtWvX8l2Ipt8MMow2\npyF/FzJ6CAsd3uogQAfxEAagBh7CMKCvCfdvUDv1KfKgjoFEPJrArfbUcXNzRRxmUxMsXTq3\n7Z4qqdx6Nl43MzNz5syZ1tbW5cuXF9DVeYuJiYnp6en2xMShMzNzzHBkBIaHL/6/cGHuYGSk\nKvoaaGm56E5UG6UourhyZXEBqOIhDIN4CAPQuB5CIYSBqMOkMppDxlxxh+DENPpLprUyUbd9\n+/Y1NTXdddddVI6K/wSSrCVHuDLE4EfqrmR65zRCkjhiaRVWMnfs2HHfffdRQtjc3GwyrtwX\ntlm7ozHYRPhL5k6W+EllGhfVYZhCCAPQMISwniCEMAxcQpiImRkYGZnzJJ8/D8PDcOHCxb+a\n0MVlyy56FHFTzRUrIPMMEUIYBiGEARBCWBSEEOaFLM5DzFoJGSiHUqCvr++RRx5pM/a/8nPU\nVE14vlUHJu3UKBBULvZT5w8dOuSPdM1r5ZsJJIQf+9jHXETLuidhcTlj8hIORcY6Xnfddd//\n/vczPpSDlcx9/GtLCCWVjgdCCAMghDAMuRFCP6an55jh+fNz//HgwoWLW49UBy0tF8khOhXV\nHy+oWAhhGIQQBkAIYVEQQlgnwPA/bWcFrYzfXhwcHCyVSmpjeo+Z63dLIk8zAxGDLWbKoDQh\nNKoTuw+VrtT169d7QiuzW9KJSWW04Fu+XzcvjqH6eP/99586dQp4XbbGlyJy0Wr37t0f//jH\nPQ/lfN84ZEH90C3xEAZACGEAhBCGoUqE0IM4huFhOHdujiWqP1y8WuV1qu3tsHLlRa5IVyoS\nCCEMgxDCAAghLApCCJkIcE/hnEhlEENljKJanmflZlpJBZVUxswyys+kYoZrQnmhWqq+hIET\npaktCOzp6cFUq56ueRZSujam5yhJTxYdpUk3tMB417Qy1cF2xy4pqXrhChnlTza/nmE3Tp1D\nCGEAhBAGQAhhGGpPCD2YnYXhYTh7ds6RePbsHFE8fx5GR6u6x4ZaqVh2JE62tY20tLS/5jVL\nVq1qjPSz9QEhhAEQQlgUFiwhDLBTaxjFN0jSe/rXmGnbTnDcVtQj59LNmmXEs4qyIGgxpSal\n0VyR1g3uUXn8ShFCcw1hMPB6mSGm1pEMgCfFqEul7DHDGupzDWHNyaHfJy+EMABCCAMghDAM\ndU0IPZiagvPn57giJYrnzsH0dNGNT09PT05Otra2Llq06OJWGTT3qcpzgwmTBAAghDAIQgiL\nwnwlhHyjkBro4E27Yk1ZWX1iia1rW+2pb5EQ8lvRJNCpzImBRN5FKQo67tauXQs57cVnjTjl\neDutwajYwcHBwYmJiampqWXLln3sYx/jKwPuCaYRQqqnGSLLlMlRyc/qtZLWdhPvAgorIdRu\nKI9nOxhhN12+GZWC72IhhAEQQhgAIYRhaFRC6AIGoCp+SBnj6GhejVQQQheamqC9fS6Hjbaz\n4vLlC5MrCiEMgBDCoiCEkFahLAu3UvAUBpttnbZRyMYt1QFGlpZKpUceeURlGfXUSmxIozRM\nZ6AnljL7QBW3ukwRwnvuuUeFjHqcb5qvD9hzbLBycw6Xq9DcEiOgO+rAvx6VCZXyx3UXcNYQ\nei56FYJsXSh0IxYX1KXZtGmTEMK0EEIYACGEYZhvhNCDqak5fnjunH6QMqsNixB60NQEHR2w\nfPnFrKeKLqqD+cuXhBAGQAhhUZivhDAXaBe16BVN2pq948eP8zeXR0N2dHR027Ztx44du+++\n+1w68Pc2cLUC5W30MDmq1lZayoQbY1jlBKjKhNKQriHU2Joih8jliiASJjPMK6xUE6XOZPRO\n0+ppQ0bprIDK9yCmlzJgGvhjNesEZ86cOXjw4Cc+8YlaK9JIEEIYACGEYVhAhNAF06moPIpq\npaINWQmhH8uWQUfHRaK4fPncQUeHltum4SCEMABCCIvCAiSEaS3jwcFBtS2EFvJnFnOZsIm8\nyDRbkW7RbC4c61ZbQ4j6A8DatWs5qxA5OpuOMiChmFqUJt9hiGQYyl4pTbh1rWBiXxKxd+/e\nvr4+JITYolmSElf0oObCQ+iA01ym1HHNkW/9SouVzWvoEj2ELg2BF9TquRZZXPGpwIlJTiUw\nbchoHXLa6kMIYQCEEIZBCKEPyqmoBaCeOzd9+vTk6GhRhNCDRYvm+KH219EBl1wCxv5b9QYh\nhAEQQlgU5j0hTHRVpbW3VBCdli8kUYGARq38hyYdtQoxCaGpP3KttJauZ+2ZSwiUlztCOVoS\nyrvVa8sLXY4jD3uxskr/HhVWUELo6Qtty4ztNDkbdicsPlbzxwKAejWAYq0VPV+5GLgmkD9j\nlYfw1ltv9Ww76T+ZFq5o3kIjitOGB/shawgDIIQwAEIIwyCEMADj4+Mjv/vd8tnZJePjF4mi\nikGt/lYZiMWL5yJR6f/2drjkEmhvh/Z2aGqqjWJlCCEMgBDCojDvCaEC0ymRWMZTZTA0a0Xa\nioNGwhKKREJobRezdyrzd9WqVRs3bmQ6Ev3E2OOwUmGxyvWqUUcF/DZRDat8IOvo1EcXN0vc\nhxCM6ZHIQNSQps0F6m9aexkBNuporZ54aTTyydF5cHBwbGzM9BDS+ZmKp4W5VflXpCYwtRJC\nGAAhhAEQQhgGIYQB8O1DODMDFy7MkUNkiepgeLgWypbR3DwXdNrRMccSly2b443t7bB8eRX2\nzxBCGAAhhEVhgRDCtAhzCNC0nwrMhU8BBjRlYrQhtYbwiSeeSKzo7wgYvjtOlh1/hKdfGdOF\nhclLtRSmWi26t4TLgenv9cjISBRF99xzz9DQUNrx55TUOgLGMFrddx6B6sDvO/UXAPcUMuW7\nhOAawkQ1tOayR9h6ulM1+F/NaCVxGIUQBkAIYQCEEIZBCGEAAjemn529uDcGkkZ1MDxc1W0V\nrVAORsUP1X9FFNvb56hjqs7aIIQwAEIIi4IQQk7cIzM6FMHJyWk12TkOH4+GUCaE7373u60O\npWDQqMiuri7cEl2tdQzeW4JDVxJLgpvbmGesYpEQUg8hvUAoIYvHD8cQADBRjTrQXgfw30co\nTnL8+HEAwEDZ4vxm2vwM2Icwx9hLZnNZ2uIw87QuUD8hrE8/Z80hhDAAQgjDIIQwAIGE0IPZ\n2bnENhcuwIULFUTx/HmYmsqnlYxoaZljiR0dsGyZ/cC7qFIIYQCEEBaFRiSEqewwT8hixlVY\nTJgOQ0+Sz8QmrAWoQBoyGrb8KW03169fDwAnT5687777KLfZsWMH8kamzDAm46llrl2kZfDA\ns4ZQVRwaGsKQWsgvKQsQLxP+V9lltSBe/gAqngmVWXlMDpxd/8HBwQ996EMcQuhpMXf+w5nt\nuUytYGiEMOwmXWgQQhgAIYRhEEIYgPwJoR9jY3P8cGQEzp6dY4kjI3OMsVZLFq1oa5sjjcuW\nzaVLVQfLlkFHx0gcL1m5cvHSpbXWspEghLAoNCIhzAXZTT2a5yNV9a6urg0bNkCQ7y7Rmnet\nIRwcHFSshtZFJpm4EQWHqULlhuZaHhTlHDt8+PCpU6coCwr2KzJ9hqbyJiHs6+ubmZl5z3ve\n09zcbLXOzSqaNw/7mKoL1vNDQ0Nr1649evTohg0bgjdSxyGiWWpTacLBuXPn/uEf/uGRRx5J\nm8UnC6rpQ/NvCxmmiZUQZlc1o1Z1DiGEARBCGAYhhAGoNiH0QO2ZMTwMFy7MEUV1rOjiyEja\nLRYLxeTkZEtLS/PSpRcZI+WNS5fOfWxvr/+MqVWDEMKisGAJYRg8Xo5UDHPQlkjGs6GFOvA0\nrTbGOHLkSBRF5rYT6sBsEZkPTeWi+IPpE/N0hwMMmFTytXQvO3bsePnll9WwHD58+A1veIPa\nJCOR8qUyf3FTQW0cMKnM7bffbqZswTDRVDHDmlsyu9p4RSApDtZEQSTBDBlFVU+ePPnyyy+n\nFWi9L6zFgrtjUnor6M4fqeQnvlvxhIy67rV5yfFSQQhhAIQQhkEIYQDqiBAmYmQERkbm6CJy\nRfV/eBjGxqqpyxwh5BCbRYvmyKHJHunfAog+FUJYFOY9ISzOlnJJ7u/vP3r0qKI3AZ5DZYbS\nnQ9drYMRg9rf3z89Pf3II4889thj2ytTvDB1oCvcaAQjEjlIw0O0YonhuNSjpQ527NixYcOG\nw4cPL1++HAdnx44dq1evxvSkaX1fJlvzZxnFuFM1CCoU1spbtJcCwAgS9sMcOgwKVS5EjTOH\nRVNbORKHmyWuIaRbgHBmizWy16O52hYymEF5itG3AJBrMKcklQmAEMIACCEMgxDCADQSIfRj\nerqCHw4PzxFIdTA8DOPjObaWghAysXhxBWlEH6N2ppF5oxDCojDvCSFikJ0SMEsTpqsQeIku\nodIGpevK1LeJVq/6qK0hxLrqWDnimH1hNppIGzJycusYmtTx/vvv/8xnPqOItKrIHHYA6Ovr\n27t3r0YI/UGn2GvKxk1HIvoYzRV9TG+YNgiUCwFALl5cLQcS/3olEkJzKLQHZapXFeZYaWNe\nqKc0r1dLVkIoPkA/hBAGQAhhGIQQBmD+EMJETE/D6OgcYxwdvcgYFV0cHYWREf4ixvwJIRPI\nG6l3UX1U/9vbYenSKmy8EQAhhEVh4RBCDWEWGNPL4XKC4bF/oZopbbC8Qo96LazVPfsQDpYT\nvWhqpPXy+f02GvGugqVrZv7EM1qeVdeaOr+HkNkFjfWBw5VKqR36gZlxjH6ouug0wzlDeVSq\ntxLW9xr0TGJSGf9sGRoaAgB08aXquycc19WLjLCK0hYZmirRuqrA6Ohof3+/eAhTQQhhAIQQ\nhkEIYQAWECHkQNFC9V/9acejo2pTjZoRQiZaWnTeSEkj/lX3ogshLAoLkxByghjNwq7ypqVo\n+nNMmSYZSKs5bgxIJWiEkOMzOXLkyNGjRxVRDMvywtScykevlMYKigY1zVU8ak9Pz8TExM6d\nO++7776DBw/iOj2tCiRZ/NavTCavzSVcS6lyyRw6dIiGWWbpJqYbNX1o/CmnufW0ugHbTlBg\nJlWtLbq+NOOsSHWn59JQIpSH8Ctf+YpHn0JdnY0IIYQBEEIYBiGEARBCmA5xrGjhyKlTrTMz\nLePjcywRmaT6m56utaI8qPWNJlfUzuSUTFUIYVFYmITQA82Px6xCDVkqhxqjLpmD5Y0NFCky\nQ+P8bhaoDEHs7u5++umnPRvTJ4qlHCDjGiqTfpixl0iEVq1atXHjRgyRNbebz9cIpv1SHsJ7\n77336aefVltlrF+//vnnn1+1atXq1auD86NoZ/jBwC49A77V3I/ItdKOJDJM6ozNlxCaatOT\ndch/rI56+q3V/+9aQ+i5TRJ1yOgLLZotZ4cQwgAIIQyDEMIACCEMQ8I+hBMTFyni2FgFV1R/\nY2PobGwANDdXUEQam6qdbGryiBFCWBQWGiFkxnwCMY84GUGCrTHTFKPhjgF7WvT19X3rW9/6\n0z/9U9wvXmW4SauGFf39/V/72tfe//73A4BKNpOoT5iZ61JM497B28RrmoyMjNx0003Hjh1r\naWkxfWIqCFN9VKRI2wjeKj8xVtOk3C5f9CBZiGiWAQaltEaQpvUWmmK/853v/P3f//1DDz1k\nZT4ZCTzzPUiqhjwlw9KKBlCp3JPKZH9RIoRwXkIIYRiEEAZACGEYctiYvuxsnCOHJl3E4waC\n5mBcuxbe8hb8UghhUVhohJCCaUjRzc2DQ7zC1KCzipkRx1xDiEJocGaADW2tYuUnKjepIlGp\nHB3W8n5Cbt1KMW1ELiWEwLOP169f/9JLL124cOGaa645efKkyjua1umn9ZrGl7oud44zzQxn\nTbv4k3oIaR5aRDU5xmAeWaOYw5vlKjAJYVgT8zWUVAhhAIQQhkEIYQCEEIYhB0LIxOzsHD/U\neKN2cmysHv2N73wnvO99+EkIYVEQQhhcVyVoCTAf/e2aHiqzooexeJLKQCXDhLK/Sy0gzCsF\nK3Xi0cwuAODZ49tznj9cfucPPR6s3NjDTCrD1FBrV2X+fOmllz7zmc9Y1w1qtRLfBaCS6KW0\nhuBSKu66iJyxVcPy/PPPv+Utb4FyClMPXCGjrrDnoqNAcWC7urpwW0vrzpN+IeYlBsb1YnYH\n1xByPL1FELyMTnuOfMj74gohDIAQwjAIIQyAEMIwVI8QMhHHFeTQdDPif3Ym1Rzw3vcCed0s\nhLAoLEBCmJcNhDyH7rRenD4uM0vz4PkJoVYRV4UBwP3336/2+lP8MMtypsSKNFgRGZpmu5tR\nl8GwakIjcvfu3dvX17dy5cqhoaEcl2NZ6befdbtoG5D0M6YHj5JwVxOpAkQVM0zc04KzhlC7\n1lD5XsAaWJsxlpWiv79fOatdL1lSQVMvTFRAyCjnnYjrK3XQ6G5DIYQBEEIYBiGEARBCGIa6\nI4R8jI/DyIjFwaidnJnJoa2bb4Zrr8VPQgiLwgIkhHyktaE1ksNsRdvIjhriLm7gcgEBwOTk\n5LZt2ziE0CV5sLwfAACsXbtW2dNqL3i1Qz0Qmz4Yph/G5Aa4N/2FCxc+85nPQJlTKQXopuQZ\nyUNfX9911113zz33YMgo3eTQDEkNw2A5g4766IkLNSu6rriKzqWbv6uvtPJZlDfvApS2e/fu\nj3/841keyp4Lp+lMWXFwc1Ra9vS2Ya42PyG0Ev4wlfwnGwtCCAMghDAMQggDIIQwDA1MCJmY\nmoLxcRgbm/s/PAwXLlz8qP5fuADj4z4hvb1w1VX4qXEJoWVbM0EWFBGPxGkl0S2gTppVXKkU\nocwA0cBVWVJOnjzJ1FBTQ30cHR3VyiDPBIBjx465rEM8uX37dr/Doaenh7JHKEc2Hjly5PDh\nw4q5BVwgbQWapoY5vCdPnhwa/ZPV+wAAIABJREFUGlJbRxw9elR91dXVpT5u2LCBzxweeuih\nKIpoHym/ohsMUkKSNqUN9ggfFooT/tVf/ZUK0XRlqTHDRDWB6KxWJ/v7+zWt6NjSWZFKebzo\nPT09qvrjjz/e1tbWVE4IZmasgSQ2QjtFd5ugOisJqiS+EdBaCQC6DdUdioQTUr7voOqFaUXL\n4wVV3U983Glt+W9tyNXxLhAIBAKBD4sXw+LFkPhOanLSt7hxxYqq6Fo84vrG6dOnP/zhD9da\nCwsmJiZOnTo1MjJSa0UqEEVRFEX0wF9Y+x/HcalU4rSiSSiVSt3d3YktxnGslsNZvyqVSlEZ\nShpVhiPcqirVds2aNepMiaC7u7u7uzvmDZq/LWZJbFd1GZtW/VXnafnh4eFTp05NTU152tXG\niiImV0obVU4vNFGdnZ04dB4hntHAimYxOqNi4/LxR1iVPHv27MzMTEyGyJzzYRddaYj/ra1r\nhf2qMk9q14Jzt+JIWlUyu3/69OlXXnklUWxa0Fb8Y57lHqwVZmdnT58+XWstGgzT09OnTp06\nf/58rRVpMChnV621aDCMjY2dOnVqfHy81oo0GC5cuDA5OVlrLRoM586dO3XqlLI96gqTk5PX\nXnvtHXfc4SoghDAQ1SGEWSgK5Xhr1qxh1vIb+lb5tC5+5VLbQwitTVDbFxkjUx+OcHWsCCHS\nWrTyceg0QzxVK54zVmmKoCruqlS67rrrLr/88s2bN6dqmjZBmaHWcY10pRWuhmjNmjWdnZ0e\nBVwolUqtra1q/P1dCFAPCaFWl3I5pEYugsSE/+WFiw5x2vKXiaJITZio/JojhdJEH9QqjBBm\nYXFhd1ZdQQhhAIQQhkEIYQCEEIZBCGEAhBAWhQVLCDU7PiPQfafMd6ZMai5zNHHZwfQ8EkKt\ncKLVq6lEmQyHrVmb44wD0gbluFMfNXcoZReJAgMuKHoIsft4NZEP+JvTdKNDR/8z3bwmSqVS\nZ2cnvRBhzIR6iU3nm6sXLihCaJ2WGgmkFNHqUssI/o1sluRXxLs7y6VUhJB/+azaut4NNTTr\n80AIYQCEEIZBCGEAhBCGQQhhAIQQFoUFSwiLA7WzXXaqacMpDqaMfg75MVmB4i3XXXddX18f\nkzhp8Bemx2vWrEGnn5URaa0kKuNqSwGDP9esWUM5Bh6jh9YaYZiIPXv2ICG06oMhr52dnagM\nZ8SyGOv+8sjYaWSsX5qLC1nrUtpG69JZZ3oIE7kWnd5Is02+HeCLozddbEw8jned34R2MpXz\nk3oI6ZAGTI/5Sv9MCCEMgBDCMAghDIAQwjAIIQyAEMKiML8JYRaDKRdji5p6qQRqq8g47ghl\nICoPIXUE4bcuN1eWntKGIuJCiR12ualwWKMoH4kifqUIkhoxulzQ0xZ6CE0S4mE4SEo515c5\nCFF6119Ewkr9zszYYE1WTSJCtinVoVAne3t7Ax7KZtM4vdWlbG1tDbhl/G2ZosLeHXiqWNsy\nJ7kZMhqRNx1hSLyV/LeheTIsOLY4CCEMgBDCMAghDIAQwjAIIQyAEMKiML8JoR+pXswj4cnS\nHBWVtq7G7lwS6BpCzaqmMZmUycReu9nVi8TzSNi0M9T655jXnNY1YB9p4KtaNxgTwoPFtJDR\ngBZp05REBbwOoCXN/Df+ijTYFb2aqVqkouhHc1iiKKJJZcI6aAWdIXjGMw5hvC7sXk7VVmTE\nx0ZRxFlDmIUJZ2fR+crJBUIIAyCEMAxCCAMghDAMQggDIISwKAgh5NvrqahCWvuY844/LvMr\nSma0imZSGY3sWf/TOMy02obx25hwRXRq4Uq5IrwTmpJ0veLw8PAVV1yhvDQ0UWpA1zQgI8Ug\n27Taatedw5OxCl4s5T/s6OjIrkNkCxm10kV+Q6YEDfgug5bMiyLSUbXKzE6NcEaVSqW0SWWC\nQ2fnE4QQBkAIYRiEEAZACGEYhBAGQAhhUVgIhJDPc8xjjvCAWlY5TGZIoRHaKIpGRkb6+vo4\nzWFbrqbVRxWF6DKU+XQ6FbQ4TysLtfaID1pe8xCi+d7R0YExqMgemW25RgZHtURWjXLkaHTI\nowaTXKn1kIkd0WTSYMJdu3YdOHDAxVHxPGbpZLbF1yQq+4E1x6xZmAkt1lq7iLkww4GBgU2b\nNnGkhT2I+MXCulMTwimEMABCCMMghDAAQgjDIIQwAEIIi8JCIIRhCCAYHObJb5ojymSPe/fu\nve6666Jy+hNl8aeNPNQOTGtbY5IcMKNzmWKpkqZKaS+Etg+haTRjK3SBYlRe+uVRWDtvatXR\n0aECWUuOrSb9HDhsIRwC2T4S3VTjhllGcShM1qoprE2qfNkF6u9fAmdOHn9J15wMU35gYOCB\nBx5Q1XGlaxHcL7FuMCFMdeOnlWz9SghhAIQQhkEIYQCEEIZBCGEAhBAWBSGETFhX3JnQ+AOz\nfCIo7fGX3Lt3Lw0ZVRXV8jlcOBeHZtSIDWOamuBx5dI1ptWolfEPHZ+xuIrhgNCT/o3pTcn0\ncpQq12RG5RQvVuebny9RDaPKjDh+feLKcQsw2aPyOwhs1GzaFOhaQ0gjb60VY4OZBBOMxIpR\n2YtIy2v3aUDrwTp7QkbTXrIiWFkYOM9GjhAhhDlCCGEYhBAGQAhhGIQQBkAIYVEQQpgWlANw\nCsdp2JfLJDJ5kesrbQ2hy/BF6qIO1Bqz4NVKGhuJCSehoYk4Gp6uBbSetlhUmXwliiIaMhqm\nTFxJwxQhVAPb0dERZduBEHmadXqYzAqbizK7EHGUMI8rBd12IhEcMkwbjXn8P+00wBhdF4cJ\nJlraULuuVOIawjAFXHPDpVJYE7mXZEIIYQCEEIZBCGEAhBCGQQhhAIQQFgUhhCaYNis1VV1V\nOAZiQOsU2jJCM6mMH1HZu6XS/be0tESVYAqhB1YLG6VRTxrlLXQ8zXhC67GfMHi+1TQ0PYRU\n4VRXxDTBVTdxnZs/xNSUoH2FQaoexSKy4FDjhGmnnFZRI3UuQpg4YkhZteueFzfjwLy+lPT6\np7QV2BH/XZ8qqUziVGHKaXQIIQyAEMIwCCEMgBDCMAghDIAQwqIghDAMpuWKhr5/uz9q4Wmk\nKxfzTiWVScVnqF1u2sGlUkllp9Syd2QJOk2siGlISpWgZzSZnrZMA107uWfPnp07d2oho4ky\nU42AWRIlqNQyuH+j2ZZLlOKHqi5nyRwV6Cctfs3x/BVXXDEzM4PuUI+QROF4uVMNbMZbJt9L\nbML6UsPcmD4jstBm/sPH1UqhjB2PhRAGQAhhGBqOEGZ5AuQFIYRhEEIYgMYlhE1xHEMd48yZ\nM3ffffcXv/jFWiuiY3Jy8vz588uWLVu2bFmtdbmIwcHB7du3c8rQ/xyx6kBVUcdHjhw5dOhQ\nWg1HR0ebm5vb2tpc+tx///2nTp1iSqOK4ZkjR4709PQMDQ2dPHlyw4YNAHD06NH77rtvaGgI\nANauXdvT08PpdRb09/cfOnRocHBwx44dq1evXrt2rdLhyJEjtFhPT4+mvxUjIyNRFC1btqy5\nuRkqr4KnoipDC/T39x8/fvzYsWP8jmBDO3bsuHDhAgBs3LgRANJeeiVnx44dGzZsOH78OABs\n2bLFpbzWO22WMictAJw7d2758uXNzc1KIE4AqjxOPCgPLB1ecIywKtbf3w/li+i6HaiooaEh\n1WvP5eP3zqxiXnG+NFTpO9/5zoMPPviVr3yFPh9MyR6oyc9RmA+qQED1ohHH8dmzZy+99NJa\nK9JImJmZOXPmTGtr6/Lly2utSyNhYmJienq6vb291opUA6mePB4oFr18+fLW1tY89FooGB4e\nbm1tXbx4ca0VaSScP39+cnLysssuUwZb/WBqauqGG254xzveQc2SClSPnAZBPIQcmP7AxCpm\nnB4/+iuqXGvHX6wYRZFnH0IFM59kxFsPaZUWVzoZosptANQgqM0bovIOFlYhWVq3+gBRAVTG\nFZ4as5PKePquQHvtqqKd98yKzs5OFcqrDqxlXIG1Sg3lPIzJTo+cfvHdYmrbCde3dOmj6UJM\ndS/Exg3lj880vaCukkxoTZtLOpnByXE5yyitG/CCn+/UDbjXCvK7ZoF4CAMgHsIwNJyHMAvy\n8i6KhzAM4iEMQON6CIUQBqIeCGFwGJVZPapEHMecJC5Wi9Zjr1sJYSIixybszK4lSsZuqmSn\n2FxnZ6dKuGK1sHNBRHYO1NYoxuTy3XLLLZs2bQrYLs8csURLndlNpDTIY3EhokrSk8hOzUZV\nXQ51sS7to7NXQVtD6OmUuvRKMu7uyB9q14i5FPMIYdJd//CatzZOYE9JBesawiwULvEpxJ9v\n5sfq80krhBAGQAhhAKIoWlCEMC8IIQyDEMIACCEsCguWEObOPdKCLtsz7UhXFSxD9ySg5rsi\nhKnYnb/FOJt1aIXV2qbjEFWuySwZ2yGk4hLmx4ggLq8h3L9/PzZaKmeCodv0+btA4SftWk9T\n9UV1H3XjrN+zTgbVL8XNEtulE5WK8nsI/VCaq4EtlUoqm1GYqNjoI7Joa8nY1pe0lMkqE4l3\nbNsORMG/7YT2KGA+GUwJ/pNpX0XxWw+oxUFjEcKa/7go1JwQ1sMgBEAIYQCEEIZBCGEAhBAW\nhXlPCLPYebmAo0BEHEFx2Zz1iDLNO6x+yy23pPUQpgX1cVHLMmM4qL8utogbKra2tqKXlQaj\ndnR0pFVDhYzu37/fpYwK3aSezNhr9lmZnoshuBpNhKmhhwj5hUSMbQ9pp9T/s2fPaoQwbdNW\n9kLDfa3Brv67g9kQX8mwWtgRPiFEaA7zAB2Ke6zVxMqnhLDmT2yOhHrgQjUnhA0KIYQBEEIY\nBiGEARBCWBTmGSH0WIpMYuYXZcK0oT0kgSOQakJdDYkS1LcjIyP79u2LCW0LsCk1PsM0tSkh\nNE2iXCwkKtzKJaIoam1tRc8eNcoj91LJREJI5dOvSuUN+iLvfvSaBI3IZRkZeo009yZHsnUk\nMaw3UT1FCM0LbXIhjh+S9ghbp9Qo41hRaIG7rqkeEaSSb5bHjvT29vpDRulJ7SrUCdPQhi7g\nyZYWWTyERYxYPVyFRCAhbAht6wdCCAMghDAMQggDIISwKMwzQlgQ0oYpIoJ/iWlFausnmsXm\nxvTUMYX2pUuI1q7nZOygE4k9Qn1QjbSGvqtRc+Ub1RBHQKVaUfsuRlHU3d2tQkY3b96c1ro1\nm+7u7m5tbe3s7MQymlaeHkVuymq2mCiNKkYjYE0hHrHoGqWi8FtzH0IcavNC+BtK7BodItoj\nzvAmQklGMs8cojB6c/r0aZVUBjVPHB96F/Mb0goztU2chP5WcoEp00MIa8J2PFcq91aCZTac\nh7BOiKsQwgAIIQyDEMIACCEsCguZEKa1/jV2UYQ+nPNoDVsdQf4so9TVQElmRLaJ9yvj+jbL\ngJgXglLWRJVMw9dfjPIKdXJ4eHjTpk2bN29W+VpwTzx1YA2F9ZMoWkBxKmzR70J0KcysYi1M\nhxEJXmdnZxifoS679vZ2/66bGi009cmOKIpUphy8cP5+peJFSBSxO7QuPfav5KRfaSGjOBp8\nxbRehF1HDgKekJ5v4wwXvbHWEOaFjJe14QhhnUAIYQCEEIZBCGEAhBAWhYVMCK1IJEKapZuj\nKUaNQuZL+sjws1133XUqZDRti9QCpsL5BMYUHpdtaGpJ821fq0xTVFxJNgIkDw8PaxvTa8NS\nKm//gCsJVaRoKlDOoARiuKnfXPZPBivp8oO2iJwHiau/Iv24bt06zAoTRZG/uvlVvvcOPcZ0\nO+p6ZaRMAWGrnjIDAwPWkFE631KpFzn8h4ly/M7VVPepp6R2aRJlWr9VhDDHCcNst6EhhDAM\nQggDIIQwDEIIAyCEsCgIIdRATfZU5fmvwDllmITTtK4UIaQsjm/Cmq4tF0HNbmQHhMAxxVKZ\nTD2t+xCaFxS505o1a9SGGfRkqthFbbSjshuqxNiPQZty/jJUc3/J7u5u5TZEL6KrR1jFGjKq\nvqX+Ole7idclx0mCM4FmN3UpxhFIr75ZVxs3Wsy17YTWLk6DKIlpx8aC4VQdwalrLU9lBpDV\nRDXMbxMJYcYnTy4SGgJCCMPAIYQLYf6kghDCMAghDIAQwqIghJAP/m8Ax2QvSIe9e/dqIaO4\n1ArP8CmiaYGh3Uldf2a4aaJhatpkVFqibmGIyAo0PNnd3c3cmB6FaAdUckdHh0pziq6zVDJR\nJUUDYsKs/HVdbxAiAo4mWkWMobWSKNcaQu0MDW9O9Kxqky2xTBaUyvthRiQulFNLUyYmV6FU\nmQgKy5TKS0ytHkKOnokvC6zDkjhWqL+KvHXNH9qLHMEc8/kXMhpA3dNCCGEYxEMYACGEYRBC\nGAAhhEVBCGGhKMgPFrtJHV1DqBlztG432e48LC5Uc0qY3sWY7IWAYZbKDYV5SgJQBMdWIaMq\ny2hUdnCZ45aoCa2Cw0IvAcaIJmpFYxTVoNFLxuyX1bjXeschGOq/Rg67u7vNbScSNcERcJFM\nTkdiYwyzzwpc4Ylahc1S/5CWSqXe3l6VVAbLMyXT1a20Ob8mAeSZXpSM4xxwXaxVqhAy6mq6\nCm01NCHM6xLXD4QQBkAIYRiEEAZACGFREEIYjMixdEcro30MM9H4YO5DqOlAiRxuZ9dNdm5g\nth5VAu1XOlAYkYiSzXhUq2SmDmbvEkVpHkJa3SROaS+fVjEqu6Ti8gYPqQSik40yRr4ypm4e\nZkIJoXZcKpU6Ozt7e3tnZmb8MYdWydpXUWUGFw8T818OqiS/dRdovzi+TQ/o4KiQUVQ14PJZ\nmWFi67SzrlBq12MhIzwz3KqDWczlIXRJzkvzhoYihLt37w4YjYU8gEIIAyCEMAxCCAMghDAE\n09PTH/7wh/2RNguZECbSBuaPomYup22UU5FvUWkho6YBnYiIEF2aawQt44xhY0yVIuJE6ujo\nWFMG9eR46jINTXVebTthJYSJfaFshFOeHqAniu56z2mXArlB5EgCxBwKkzBYy9DzKmQUW1dX\nSjkSFWP0qI21zPOYvycmN5frNUHirZGXaUtfXrgIVSKiKFq3bh31ENKv/BX9H+nU8gwI07uY\nqABHqxxhJYSpnmlh7ebYo+rrYPUQhs3bAFStodwhhDAAQgjDIIQwAEIIU2NiYuLRRx+9+eab\nhRC6UNAvVlp+qA7CknmaXTDXENKGNKPfJdbq+aTJ97XWMRw0O12kkjU1sAvICdGBg+WREbko\nhBWupDKp7F0sz2cL2EHsWlT2HNL0mJx2sWnkh5ghxqM8nRVWioInNVUVtDWEUSVoiCl/lwuX\nnnhxlRwcH6sQOnOKM0zVnMcWmTe75iGMHbebta4L2LqLhHuuvuc8VZJOTo8mBSGvNYQFzYT6\nxAJZQ5jvNY2iSAhhAIQQhkEIYQCEEKbDN77xjQ984AM333yzEEKKKlsD1DiOKymK1fh2fWSq\nrRoy9yF0IS1zsyacMBUolUE/UvM9o4FOhWATpsMwKgcfahYtetKoDq6kMpqeAXSXSepM0G5i\nYszIy3I1ol4qbwWBVySuvOimKI+e9JriSfQQWvXXZr76qDqCPueA9yD0ukfl+NuozD+xDEeO\nJhN7mlYlFEJfRrhcmjTLKFIs/wxJXNSn9aVk7FBqFR7m50zMcuRp0frESKwYRdH8SyrDR/DT\nsn4IoTlL6xlCCAMghDAMQggDIIQwHc6ePfvzn//8ySefFEJIkfsPElMgtYy1Mx5Q+x6t+URr\nVRFCj3xO05odye+mpjZtTqMEnWWgz4fjY2ECWR9VvrtyG8CIhKTu2bNn06ZN1iyL/s7SFpm6\nmTOB2VA32ZeC6XMzv8UVekjwPOU1UqeVKZVKmFQm1YWjjA4nAJPD8OXHldMgbV2mDq5LgJww\niiLccDI2CKFZK64cdqYapib4rEj7jOJXsarqKpbYqL96DQlhLo+mLNWD69YbIWwUVJ8Q5jg+\ntRpqIYRhEEIYgMYlhE1xHEONcOLEib/8y7989NFHL730Unr+ueee++1vf6uOJycnH3/88Uce\neaQWCvowPT09Nja2ZMmS1tbWfCU//PDDW7duzVemJh8ArE3cfvvtN95449atW6kOHH1uv/12\ndY3UgaqiGtLampiYaG5uXrx4cS590TTU2jVbt9YFgKeeeso6x7S+P/zww5/97GcvXLgAAO97\n3/tOnDhx2223AcDBgwdvu+22rVu3vulNb/rUpz6V8fI9/PDDqI+6Imq17bJlyxYtWqS+feaZ\nZ2644YZnnnnmU5/6lNJfXbgs7bqUwfmQOBPM4Tp48OCVV175zW9+s6ur68orr3zmmWf+9V//\nldMoHuOVpR+tbakD1aIavf379y9evHjbtm3afP7sZz+rxo0/YmrYAeDGG29U1f/6r/+6ra2t\nq6sLAI4cOeKpSCenWeD2228HADUyqpXES2mK8tzUHPT09Fx55ZUAcOONNw4NDXV1dR06dMja\nBa0VbWDVQVo1NLGuyYbFwp6QnNkLbOU1aXEcj46Otre3c2oV/YTnN5RxSD1Nc0rOzs6OjIy0\ntLQsXbo0l6YXCKampmZnZ3M3PDyowowtGlNTU+Pj40uXLm1paam1Lo2E8fHxxYsXL1q0qNaK\nNBLGxsamp6c7OjqamppqrUsFpqam3v3ud7/jHe8YHBy0FqhHQvi3f/u3hw8fVscrVqzo7Oz8\n/Oc/XwsFa48777xz/fr1H/nIR/IV+9hjj1ll0vPqWP1XagCAOn7wwQc5ErALWP6xxx47duwY\np0ePPfaYOsjSd2wO5SixYTJRJSph48aNH/7wh3Gg3vSmN73nPe8BgPXr1z/xxBMA8Morr1x/\n/fU/+MEPOjs7u7q61Hmc3gHAKXHnnXfS86qbTzzxRFdX14MPPqgUS9uW67Ka2LhxI0rWatFh\nxwN1/N3vfnd8fPzv/u7v9uzZ86Mf/YjZHJ08L7/8shpSAHjwwQcTq4DtcuNVs1bUqqCS1rmN\nF/q55577sz/7s+9+97sdHR0/+tGPrOU5QAU2btzY1dX1gx/84Prrr6dzmFPX2hEN1mcLDvLh\nw4fVncvX3P9k4EtILEYfTeZ5sE1I/JjqiZp2BBoOWZ6HHpm5/2CFIXdN6qdrAoFAkBZTU1M3\n33xzjQnh97///YGBAXX82c9+9nWve506dhHCJ5988mc/+5k6np2d/eY3vzk0NFS0kmkxMzOj\n3p0sWbIkuzTVwS1btnDK4Gj4ywfowBe4devWEydO3HrrrQBw9OjRDRs2mHWpQDy+/fbbjx07\ntnr16ltvvTVf/a1I7BQW2Lp1q+oF51rQ6rSwWdc8c9NNN916661Hjx49ceIEAFx55ZUbNmxQ\nX33uc59btWqVOTKTk5NTU1NLly5tbm52dWFoaOjo0aPopVHtKoEvvPCC+j80NPToo48CwPe+\n9z3OmPCBVfx1tWI33XSTcht+8pOffPTRR6+88krNu+vHTTfd9MILL1x11VVqxMymx8fHW1tb\nU72lo3dZqkHQKqob5NSpUwBwww03PPzwwwGjSnHVVVetWrUKAE6dOvXJT34SjGmWy900NDTU\n19c3OzuLzq6tW7c+88wzalqC977AEVB91+aY+pbzrDBPenqnpnTamcMcLuU6U034b5k4jpX/\nIW0rGS+cp7oZK1FvmJ2dHRsba2lpKdTZlep53hCYnp6enZ3NxfDgIK9nS0YdINtFnJ6enpiY\naG1tFQ9hKkxOTi5atEg8hKkwPj4+MzOzbNmyOvQQvuc97/EQwmqsIRwbG/tdGTQxxvHjx2UN\noQtpF1/VENrSQde6HXUS1xDGRi9wjVb23uUlJK5cN0XPMzO4+DXRZKrVXB0dHR0dHVF5U404\njnENYarVU2ZH1EI4mjEFd3Rkik3sGl3Ux1zhRquUytvc+weNfovTRu0GgQvz1qxZo9YQuhbR\nxZW5Sa3r4qxfMRFVrg9Um15oqXTSyozJlcXO0tREYaLomYGBAesawojs2xnZlj6a94h1SFPp\npiTQ5bWeq6mVzBHW5xWFuYbQ7HsRinkQnHwoF9Dr5ep4FdYQBt+89QxJKhMAWUMYBllDGIDG\nXUNYy30IhRDywfxJy/2XL9ESUtAIIc1dqf0e020nXAaTWZeZNYFqy2cU/u5o/aJltF6bx2l1\ntp6Momh4eFgRQroTIJq/1n3SXU3TTB44qpjEBRlLos5pZxqnvNYL1UHVa0+KGnqSDk5HR0dv\nby8SYNdu8uaso1+ZLfL7bhajKWQjQviR04blNaUtIskPeBSoWqdPn37ggQf8JRXfpttamKJM\nydYHQmzcWVZpHP6Md0Rw34NJVNqkMqkeEfMVVSCE2VlxEQ+6jBBCGAAhhGEQQhgAIYQhEELI\nh/Yz47fDtESaVYCf2tGkkXv37u3r60srH21ozaUTrG0itbB+azUvPKNtkj2tDNPHqLad2L9/\nP5WJonDXeLrxQ6o5QEc1LucLjcp+NvzPEcJsEUsmFqYqqWSYmHw1UT71ECK3jEjK0LTqedgy\njlgqxmiWVEQLvX/qgCMNZaKqqdxleE8pDyG/Il4LTpUwQmgKYU6AAJj3FwfBWUa1RwRtPcsj\nztqQOex5CQ9D/WQZrXNoV0oIYQCEEIZBCGEAhBCGQAhhMJgv5j0n84LfPo4NE3BkZGTfvn20\nDNOwo5YTJYcmPWAal6nsLT51SQVXsJ/WnGtjevoRuYpGCUpkN7y0u1bgfzXClGrmEpDGp0+U\nFmrsV/mprPpoG9NTUVF5H0gqKnGfQOsAmna2Zt/zx8oURXe6V/ugpKJPVJNSeS8Tl6dUFR4Y\nGHjggQdcsyuxrcTtKGnXrMp4GqJzG7vDUYyOA/MWoGEOiYUVIQyjcLQKfWyaX6USZX5Vcwao\nKWASwppr2BAII4T1MAFqCCGEYRBCGAAhhEVBCGG+qMJPgtU+Rst47969SAgp6PK2RIpIaaHZ\nIzQxldWIy+SYpqqpPL9kXj+6USWGh4d37tw5NTUVZhTS8Y9I8KTfiaSxmoi4Z2NbkHBAN62N\n+lki9RVHlS8FkCGoFZhE3ZO1AAAgAElEQVSxlxDGNpKj+KEp36Uqc+istcKYQ1Tpb0c+bL1l\n/E3gcGlzAPchpCfTej5xkWQiRfGwU7O69Wanw8JUL9V9ar2I2hnTQ8h/+ZIKed1ofPAvelrJ\nAR7CIoY0e+tV1mpBeQjzGtsaEsK8rIKaQAhhAIQQFgUhhGlB7V1PmbRWKS2Z6ummFVZJZfxV\n0JREaDGNidVRiKZGVPYLxYRFIG/k25QemGTAaoCmGkOrhzD2rmO0KkapMg5IVPYaaXTRb/2Y\n3cFLhpvLWytqZ+jgmHNM/ad+1ESSg+2uWbOmt7dXOdYCwgujsr8rLjOcKIow6JRT1+yX1kGN\nyXgIkrWncXnYzWmcanaVyiHBqrO9vb3+jenxmLNgL2IH6MblNxRmi5wemXX9Wml1U1XkEEJ/\ni/ki7cO8aE2Y32qE0DOXtBuKns/yXM1Yq1ZYUIQwDObEEA9hGIQQBkAIYVEQQhgMv1kfu3+A\nmfZuAKIocnkIrU1QkzoiTht/oKALWkCgxkZiQieU9R+R6ETld1Lr0FJ22tdB86T1vIsQcmQy\nlUH7vpvkHVX/OYRK0xw5IdJvk+zF5EIgy+J0gXPRo7KHUK0hLJFoSaWP+s9skfYOhZTKCVHV\nxEhURjuDCpjFIkZwr+tbSuyxy6kmxrp163ANYaIOVq7rL+zRh5Yxv2I2pEBpNqd8Ykk/V8GQ\nUWb1HBkIX206htY56ZHpefGUti/4aOUTQo7AMGWy1EolPMcmUhHC6ruU6xNCCMMghDAAQgiL\nghBCP/gmCJ70nDct9VSacMpTD6GnFVMTq72CzsCIOKY49rRVgYi4uWhgHn6rCIDmwCyRwEvk\nk4lNM6HE0pBRvuVNO2XKNGGGBSIhVNlHMea2o6Mjlf4ovFRe0MislREYMopXh7oxFWvCadPa\n2sqXTDXEdxO4n0dk43uJcjiF09IbOofRJe6nrxgyGlfeGmF8yfw2Ij5D6yjRtlBbP13xt8th\nhtoDkA9VZfPmzadPn07lacwynolVtOr8h6GrfI6EEFHEGsLc2Ve9IYoi8RAGQAhhGIQQBkAI\nYVEQQpgj0C7UeI6/fBz6K2stzwkZDRDbbexUhiYX5YdhRNf/LR1M6lJDChSTfR1SJX5EoIeQ\n2pFhNp9Z3VORUkRaHjeBMDmkq11svURWddK0nxzl/QVMu9+6hjCunAYYj4qbHyp9mpub+UNK\nEZcdgPh2AHtnMjH/3ccfWKYEfAIgEzPd7JQQaqLoWk2zOatbT9NBO1bOVRro6+9mmKFPIwuo\nBJcfknPLa/poHkKz44nQRibHZ1T9QNMz9yyjdTIORauRlhAG3zjzCUIIwyCEMABCCIuCEEJE\nQY/1RLM+L9NEfRVACJlmceJ5aq5RT5EWZcfkJ5pYKzGgzaFMzTbVxt96ISgh5AyC62r6pxB/\ngrloRmtrK5P00jGJymvzzAQnqWBWVIQwkW9YJVDns+ItmPQolVaUhOAEi4hzkqOVdXqYB7Q8\nUz3UpFQqKe+3ixCancIcPC59UHOTQWnAoeAwQ+ZrCBPURezXh5ax6qBVt64hDFDSddumEtIo\n2L9/fxgh9FyU6iBtGHa+qHMPYX1OVyGEYRBCGAAhhEVhvhLCXOzytJL5hV1mmVW3VC1m9xAi\nOFY+kgGtsNU5gN4qSt404FepwsP832o8BDlqR0eHsrkvv/zy1tbW/fv3cwyRgMlDO5hKrElF\nYiPxo5VEaWcwPYkCksM42+1gegg9kW/aGWuj6OmNyxOGs0OjRi3oR+w4TXHE6VpU6fe29sV6\ndRLFrlu3btOmTf7IUiocqTJnHPwcLC7H3yYSb/reIaCbceXem4laRSSDjnYdFWZnZwcGBpjt\npg2/DLujE6tnubNyQTAhVOD/SOXezRwJYaqroErWOSGsTwghDIMQwgAIISwK85UQ5oWMP0uJ\nZhBn+Y1Z1/Mjl0gIs/TIaqsx26JMz2NoamynRDIoas6xRB081nxcaaru2bNHbUxPg99KJKVk\njradf0pQ3VwhgtpJxStK5XWeGG7q14HyLpUpNK4Mv+R0QRFCZo8Sxbrq4uVQfk613pK/hlDj\nJBEhih0dHWoLDRcPwTMcC5VJNdU+hHE5mhR3PuTwPbqW0t/ZRDWwZGK79BZI+wRQJZUH2H8/\nUrHmveDKMuofB6aGHlHWYvR9lqe5sCdGxucMnef79+/fuXOnlRDm9TTLF1kes+bMCRbiIYQ5\n/hDMMwghDIMQwgAIISwKQgjjevp1ZJqe1CzTXD1FhIyGSfDwBM3cN39lXb+7UZk0YnCa9hFH\nIxW0NYSaHDwTVcbm+e3aRKvXD5wJmjfVIxDte9ykjrNvAW0uJiOMyUI940kJIUdP2lwU9DYk\nLjNYXE2KWYjUQSpRVBnMxBPZ9nuIDOLkmQP09jSHRQsZpathS7YUL1b5pj8tsZanTFSmmmYH\naUfoTce8YSms4coufbRxS9x2ggltrqat6C9Ahws/Mm9AfkPMMjFjDWFa3RYIxEMYACGEYRBC\nGAAhhEVBCKEHhf5YMoWbv9maqaEV2Lt379jYWFjITcb+mnrSj6lU0qwrl26uwYnKjG7NmjW4\ndEqzaCms205QuoL/TRclrlvD3RcLmjYc602z4FUV9D6l1U1VxNyedDM9JYeGjFotYPMiWilB\nsNFMXwQoPycmHOIvSvTb8dh3fm5bOsfM1q1rCKkCMfH6eqgLlnSVwauvVXENCBambz2svaCD\nY3Y5EZ7J4MKBAwdchDDt5MEqVlKdC3KRqU3LAAm5J5VZIMidEBb0i1BNJHZBCGEYhBAGQAhh\nURBCSGHaPQVJNsF/ae03qTUPocs054NvjgQPF60YMWLYPC1ajVpazHQtRlF03XXXtbe3e2xr\ns1FXZxUtoU3wexRs2lq/cjlzkC8hx/MIjyuzvygzurW1VfGuK664Ii3JtJq5pgRKRJliNbKK\nZ9DuL5Hlo3xtS+X8LuiNTCQSniaiKBoYGFCE0COBMq5SeT9Gzm4iVsUi4t9L7HJMes2ZkFGl\npzfgIeBJrIqgHkLzcVHEgxrnjDYIqR5QeamUIyHkP8w9Jc0JFtvuaHMi0fN+fTJeU6uGpsLW\nuuIhDIAQwjAIIQyAEMKisHAIYcAPjGYSeexXfqP832PPV9qvKS3sDxlFCuTqWiqYQnK0zGgr\nWWq5fvvpGeUhRPJA/U40S6pfE/zWjLHUPJNM5hmnp8fmJvV+DZXji35k9lEd79q1a/PmzUi0\nEj1yrjEMnjaJ2pqTE32J5l3AbA5JPnbW5XnWmlD/0UNIv+J4ArvLu4l42CaKRR8jLeB6R2CV\ng1VKZB2vFdav/AOrfYs6o+YaPFlGzdZTTafEwuYVjAwWmiNFNEfGej42pjc9qcaQHzLqmrpZ\nO1OvsPYaTypCWCfdrxM1EiGEMAxCCAMghLAoLBxC6If19y/7jyKnelp71Hoezcq9e/fu27fP\nU9dqx0SVWUasZpZfgZg3XEX/vFkvYmJJGjJqLR+VfUSUKAY4xxQUB6Mmvmd5lWkdcmx6WiXR\nWqW8l+a0TLygu3btUttOaEYzNZf5S/vSzg1tSjPvVrxTtJNaQKyH2Zrn6SsD6pOkVfAMJpUx\npXn01yx+9Pj5u0wvjXazU5USUXInHbXqmeWZhmdo7xLXENI+Zn/IhE1FrRa9Rjg3YltEcam8\no6ZVoPUy+a8dkxA2BIr+yTAR7CF0/XZkUab63Q+DEMIwCCEMgBDCoiCEkA+muVZoQ4kYGRnZ\nt28fNUESpXl+xkyuogWeBRvxYdUDYJpWZqPWNYSahlEls4pImpkoiujqNb8yqAAtaS5NNBmL\nJiqRZZlGKjbtMjHpRpHKplQTQCX2NOeSa2N62lO0iUuVGTVdl941GxOZhrVMInsx71x1sGbN\nGpWDtESSzXpEaTKjsgvRDFKlawgpjbHC6v6iKJVKLS0tfiExubhaRwJuQJwermxDkTcgMMyZ\nZm5M79eQ/9CzPhMKei7553zujfoJIac561OiCg/t2qK4kNF5PHRCCMMghDAAQgiLghBCP6z2\ndGw82bVi/BfVLvOXedJs1AwZNXXzW9UmFaHlqTXfXbmRXY5xU1bFXCq5ivGB2074FdDe98eG\nNYk2ekS8AUxHolYGYxppdlMm/Ba5prZ1MJHMxJWOC+xRqVRqampSawg5+mhNKHKoxW0mznDX\nGf981tTgtIXltYBheqD4v79FvAolsnyxt7f3lVdeoePv6SPn5Qs+bUoEnn65vIvWy+QRorbx\n9L+5SOwd84Y9cODAwMBA2N2NbVFNtHvWo3aVkWPT2QnhPAD/fkfUfA1hI16agghhIw5FKggh\nDIAQwqIghJCPtL8riEKZkgb+thOJ5qAVLhsuqqTB+DNM6RCHPHBg2nNmu6kEejyEcZJRa1r2\n1o+0MMfjpHVEpRWJ2esPS5UBn1Z71yxgHTp6hmpeKpV27dqFUa9ROeoyUTeqodbZiGy2kUhs\nrBrGxvhby2Mrno5TIagMvSJqBWZnZ6faZ4+ThjSKIhUyWirnqnHpafUNesTSA+q79ivjp4Xm\n3HahVBlT6nlERN63G666WpbRyBv7kPgEMDvIp6ZFI0c1wpLKmKMX8ETN2IuA6uZjll9RK8wk\nhHUyYawIvjWCIR7CMAghDIAQwqIghDAAmomcr2SrdcuHlRAyZWqtU0+X3xh12X/U8CqR9Ixo\nXmsWeS6/VVQUx4aOkwihqxazJOpDvXZozioSpbZHd8mhFfEYwxFxW3mzosYTtPMZB7y7u7u3\nt5duO0HlI1FUZMkvSlODOuJwzuAaP6bO2edS4viUyoG1cdmnireMh+lp207Q6aFdpsSOWB8X\nEWE4pfL2jP5xi8o00myaP9r01vbX8nTN9RxwhYziTDa996lgviCI098g5rXwfHRJcF3QAExP\nT2/atGn37t3WhhKb5kB7srmE+79K1S59T6TpnP2WV5hPhDDH6eSHEMIwCCEMgBDCoiCEsB4Q\n9ktsPc/xEFqtAVdJLfVfRMhM4g+/ZlclmrbohKF2Hh5wkli6vvIX1jam5wsxu+D5Sgtao/40\narX7PWOaBaxOYngnptD0mGicy+HvHR649iEskQycmD5H+dMwGDWxdaokdUtG5WSqcXk2erxz\n/lZML6XZZeZwUUISk7091DjQa23uQ6g1oT6aPdLKmCf9wME3u0mPPYsDzfJ+mFTBKsr0vppN\nMDemxxvN9JDnaAdr0qhP21qS2XSWJ5t2EZVK09PTO3fuPH/+vDkO1lm0wIGDkFfIaL6zrs4h\nhDAMQggDIISwKCw0QlidB7T280yPrQrgeX7EnasjlBBm/EFKfNNfKm93Ts2vtC26jBUTNPsl\ndUTQ8MKwLpuEMN95YsrUSIJpOtM+qnhR19yIKl2IcZkfqiZwxFxaWQ+sws2KnqQyCJwe1O/X\n2dlJU63iPhB+Ua7+RuXErTExwTnxqxptcDWHB6772q9kHMeqv0rCunXrrrjiisTmVI8ULdRe\nJZjK8KEmlWthqinW2mXOPUK5kKukeV7z/6CczZs3DwwMJHXOLl+be7RR/vPW30pECCEdQ3PO\nWO90z51Ix9BzJ5qtxI2TZTRgJuf7fNaQIyHMvWRNwFGvUEIY/LirfwghDIAQwqKw0AghB0WQ\ngSxVOBLwienamD5RDpMMKNDzfmcUrnmLyp4Tvgme6issoJJDxmS5Hd1LwGpUmSGjRfz8mEYb\nMyNLXLnBvRYa57G2EWooVB4UZpCzJtzaikkI/eWtZm5cvmpryrDu3OBXlQJZNL4paGlpiW3L\nLzVtrS0ye1TyhmXS8729vddeey1eSo3/aJ1Sx7QvLrEezV0qMaNJXb6vxGByrZa1C9YWaaPq\nalIPYRYWVyrnR0UhHpbl1zBYh6ohFSG0UsoqwJzDzN8763EuKCKpTMBPHudhUj/Yt28fJYT1\nqWQdQghhAIQQFgUhhCaKe5ZRs5XTLpIBj0DtDD+pTBZo78I1i5yq5zFzS0bAHvbXb4W74P8F\nVRawWtJG81uWSqU9e/Zcfvnl5t4PaZv2GFLWr0xuxjTrlTTkt5E7xwa9UpRJavtJMPuoNeHf\ndoLWSvRSaoVR+ajs51RGvGexpUtPvDToq0RpfiFpv/Xf3QjchxBnOxJgDtVBv7F1VNPO27hy\n6loXo1pLmif9OltPcrRVk3Pz5s29vb3Wu4MjxFOGPnOiyl1SSkbcqUtCwLDnC6sOOXoIrfep\ndo/TknSqaBMbC5s6a3PJU4C+RvE8vmgx66S1NuEihDW/ygp1ooYCDqDmIbTeqq66CxlCCAMg\nhLAoCCHMJWooEa5nn8ey9BSjv6la3eoQQhcyPuI14ywytvnGk9buu0bJjLjTMDw8vGnTpu7u\n7tbWVrQFcRlYouWa469a5E0OGRFo582YSZeepptREUsEvztqY/rEHsW2a+GZKtQdiiXVRxV7\nGZcHSu1d0dramqiqZ0xKpZLinDGZYByBYY1ak8qoY/TiatPApTnG3LqMLf8NYoI/4SNvilR/\nXdqc8lJaW6TdP3DgACWEtLDrmKoaoCS9I1BJT6P++czXyqNtqr6USqX9+/drSWUid9wpnYT4\nyHXNwOxPvByfmczmmC1GZUJYZQ1zQQ11DggZDbs35xmEEAZACGFREEIYMx6jVXtspW1I+y2P\n0xNCD38oFC4bl2N5UDKDNANZTcRLe0Ob2LNnz86dO7Uso5qFFFeulvRYS7mDY8dr/EGdwbV5\nlOFYjWZq71ID1x+6afUQMumE6yvXeeuLm6hM52JCkJQC1sw6rr5r56lB3G3sLJ8Rp0+f3rRp\nk6eAardUKrW0tNCVhFoZsxdxftsnoA4o2TV0fiFUGrM5awEzqYxVH1dzqcYk7QCWynHp9D6K\nKt+zRFHU0dGhBSagBBrITYddGxDNjRwZG9jQjlsJYVoU99NQnfewYeCEjDKHpWq/EQHI9xJI\nUpkwCCEMgBDCoiCEkIO0T/O09kfAr4XLHlKEkBkEyBGbF9L+goZVVyhVQqNDpt3p2nbCowzK\nSQw+9CB4tF3cxtUELszD7eBdAktGcFeJbFKvjR4nqYxL+cjN2D1fWUvicYkE/tGeltLsV6FJ\nptcaFUucpZ4OaoSQoxWmKo283suILBZ1MaKARxlmxPE/VVy8kbbLb127ZH5CSC+Q5xVGFpaY\nHdWnBPWcVIb5+KoJckwqY70p6qSn2hvAjKg3Qlgng5wIIYQBEEJYFIQQJqIenix80rh3716r\nhzAxAi1AJU6Zot8EU3YR2wxxP/lRB9RD6O8X9RDGhlWqqZS4v4L5VUHcMqp0LMRln6paQ+hp\nFLtJXR/ol+jt7cVEpnzFkGKxO2cX6zL6E79SZAPXy3FcmniAg4Byusu7QbpqaTC3nYjJCHs0\nQa8v5YcenbGwK2SR406kBVSL1s5q5c3ra96PqR4gBw4cGBgYYLII6tj0TG+z+5T2c5TM8aeB\nL4r/PCmIEHpuLr96fgn0znLVyuUnzNoEPVNEUhkm/N3nC8lPozjm/SrVGyFsFAghDIAQwqIg\nhJCP3J+zWeAyqV2EUKuLB5QdpVUg9v6ApUW+w+uSZjWCqYfQtP7pW16tLn7029aYxSTR7k+l\ndiqYzlJskca8+QmVdmbXrl0HDhyge+4haTErBujvUSPtxKP9isoBpTjzsQucFXSmZBWaS1f0\nee4mKyHU4PG20V5E5S1J/L47nHVayt84dBiV9zV2ZEWiAl0vC9JOidnZ2YGBge7ynqjaNfJz\nJOsFdbECOrzmWHFaDEMRT1EkhOZoM29wVxPmPUhPplLSPKldBWuVgEnLKaD+15AQeuAaCk/J\naiKREKZ91DQQsvRLCGEAhBAWhYVMCHN/QhX9vLP+EmO76uTIyMi+ffu0b+lHq7tAO++P/sre\ni9xLppJDh0theHh4586d+/fv9zcalQPS0LymQszC1Migw6u4k0pgE7uNZqu0HKEpTw0OZegn\nUiNFCDUDOiarqjB2kW/E4HC5KnLGgfN2I6p091FuQ31rnJE3i3nCsawb0wf4SyNje70oilzb\nOWIxvDQumdbzLj8bJcAeD49rDPkltZDRUjmM2bx3tInkQWIUsSbK+lDFk/SZSYcrcnti094a\nidBGT21Mj2sINf2DGyrod4GPtA9DWp5TMTGpTM1HIIsOBSnvIYSJE28hwNVxIYQBEEJYFBYy\nITTB+aWx/sC7ahVhx8fEkjBNCkUIqfdDq8vhHtpBnMZmZdo3aX+kC4XpIfTbanTko8q8IzRc\njcI6Z/AaaVlwmHwm4Ic20QbVqAKNu8NuYhn/thP0+mL3MT2PX38rVYhJgp9UoBcr7ayj5aPy\nHhgBNjrGW6p9CK0lKcHzK+NqBaefas4zjCVHQlEPlfU0XSqVWltb/SmItG5a+xU5QmHNNYQx\nuaAo05pzNdVD2DonPTOHXi+zvKkJ7bt2M7pmpkd5lGCdMDRklDntUykTOfaojNPs7pjx0nAK\npy2QxUPouuPqB66ZqR1rkzMREjIahkRCWG/zpx4ghLAoCCGkSGU6aBUTpVXnxt67d+++ffvw\nI/1h9vcu0RSgJV2/9xxz0Ke9VyvrsQeuvpvKu5LKeLTy6BCRWFOKxPGnY6h95KikyWF2xHpM\nz5imQ1SmduvWrVNbO/oZrDZc+FF5eGj0psu0tYIzqn6trMfWYvRalCpjTRMDTTUN161b197e\njnGerkcHUyurf0wbYde+FOq/NQLTNZ04ExhfcPh3NcQNNjSZ5p4HcRwfOHDg9OnTTE2wv8pH\nnbjY0nrGbMscajpKMZkeHvUSve5m3z1lcP7TKth99BCaqmpTAgtoxZgIuwGLQPDTgEro6+vb\ns2ePduPno1+5icSDmiOtJvVGCOtnJP0QQhgAIYRFQQhhIoJvyMgdLFQcNEKImpjH2rZ1VsNI\nO5nYF9OONG2mNL1xdiGyLcZjCrcSQgwZzQjXSKLrBv1spvKmn4F+a24g4W+U+S0tRv9biZmm\nm9qHsFQZPcvcp8F67Wj1ElnUl6h2Xl9xbHEaG4mFS+XcnnQQrBIGBgbMfQj5NNilrVVtOqqc\n5ZGqmItBMe8vHISOjo7I7UQyy3vKbN682fQQMkF3iymV92Kh2zyY+lg1tGqunaEMzVogJgGl\n9FtXZEFE4DrpUq+es4wWBOazzo+wfQiztJtd55qj3gihhrodYQkZDYAQwqIghLDOkfZBlrgP\noRkShraIaaDzlWRatGggYvmwNB5hz3eX9RzmIeR/5bImI+KfsdaihqNWRo2hK7ll9t8/v4So\nTAgPHDhAu0M1jwi7Mzvot7BLJIwWySESG3/6VnMEkAl4uuOXlhbdZPNATVVPUhmlhn+PB9cc\npr32UJooivxO3USmYSUnVlH4LdKwlpaWxAcFJvihJ10ho+aZRPKpgn7VRcEAYOqmTgXPVfCU\nTzXfOI87a4H6JIQ4JehJmu4Ih4j/m5KvhlVOKhP8c+YRGBcwLH4EJ5Wpsp71BiGEARBCWBSE\nEIahbp9iaTemjx02jfYRn+bWVTrW6vSHn/MTpX1LiatWPfsvqEZdNEKY+8V1dc0EpcfmhbAa\n4hFhX3iN/OZ+KpU8oGsINQPO5C04H9QUSsyNGVdOG6pwd3lDRZrRJNXSPlN+2ir+GFF6oEri\noj4PIaRzHn16nvcFfiXpR/MMfQ3kGTo6r1wd5ECVpGQskbmVCFTIaOyewK6eegpYx0RrOirv\nL5+71Z6I7M1xCGFkpFOKyFsqjaSZx7H3kaWd0R5ZtBidga4yURmaWLNYXOmqpfeRdQS0j5//\n/OeLJoRhT6qwutVBsIcw8SnqKTMPIIQwAEIIi4IQwkQwTYHszyy/ecqUH0AIU7WCRmQqC5Vf\nIPFnAEdJgZos1J5LFE6RhRAyHQtWo9xsjs4B7BTdFEETaB0uStrNWlaFw6zeVBvTl8geHngG\nvX/qPG5c4RJitS9RMo4b3ecjIAmNtTlOMf8AKj1Pnz79wAMP4Co7zpjTa201f/3aWpugNw71\nZ3p04F+axDJR2TvHeROhCvf29jIlxzYOw3leWWeX9rFUTnAalbkiuhnpzZsl1FlrVAEpUzcB\nfTjQq6OqbN68GbOMovLaE0Z7PoS5SYtD9ZWJoqivr0+FjFpvLtf5IjQpSHIRrRQaMlpXczJf\nCCEMgBDCoiCEsAigKR9W13/e/3DMSAg98PxAusrHldYY/e+qUrLFr8ZprDrNMMJj7bU3hSKE\n+/fvT2XUckqmmgOmLUtBHSYuTTSzT6sex7GHgXj65eqFnxByWtFYIg0HxTWuVqZKz2B1a8lu\nkhw1rRcRWZOrO1qnXLOUYmBgYNOmTXQNG/rN/FlY8KmCtNk1AdLaT6gz9Yy5SqoDM2o3oGla\n2O/GUfsQYi280KZvynpAL0p1jEuaL4fetviSAgtQXxbupREZ642thNC8KehHa5bRvOCZ52nP\n+1tJWyU7UoWMareA9ktXE/1NxTxl8noFwAkZzd5K/SCv7miEsLZzplEghLAoLARCyLHSckeU\nR6KIACAhrIIBxPzJ0c5ofhurZe8SRUtqSXE8NElrmjoS1f9bbrnl2muv3bx5c/BYFTfB/GI1\ns9IlgQ4sHTHNeZhWN6aH0KQNGjQCr5ny9B1BqVTCLdFTKWzOk5isVEzrHU3L86mZaN2HMK5k\nhp6nBxYukVw+Kn2LqWQiAaaKUW2Rm3mGRRs0TRTnqau1WyrvkYhXBK8yJYSahEQ9zT6areOZ\ntP7k4p6u2VEPawgT7/1UEjKKYiLHNYT8+a89osOMhwCYN47rVvL3RSOExf0gVhOeLuTVO/EQ\nBkAIYVFYCIRQoR4eTxy7MyKIDbUTq6t9CLUqGVTOH4kP2cQu+19qmoZpInnQPISqRTQNSyTB\niafRgHHOy0KiEwbda654POsgl0ollWjE43cycfbsWbUxPb8jfqtd6xHtmkZfNYdJTHah8LdO\nL6V2o2HkpOaJTdRfU9XfQS3LqFUydg0763EeRuXYRZfOsXt+erTF9yYYGOkxUnHwcXjNC+qq\n69KWutESQ0Y1zcZYpTsAACAASURBVNX6Us4LJs3HSH3Crip+mRwl0yLs8ZLoITQfAv4C2kmq\nVcAES9CeXSxscDzIixBm0co6D60C83LxJcLfSp1nGU2Fat7jQggDIISwKCwcQlgP4JvafAl4\nXsG67URdwWX6028Tn8jUjjfdX36rLq5cSxNFEa4hdNk0aA2jcL/97UcibeCbOFhM82xEJK9m\nybaZOx1njcngScq1rF1Q205w9GR2RNPE7BEtbEWpnAgE+57WiMfy9EKjAolXPPEOpR7CxGlQ\nKi+tbG1txSln1qIjoxCQYseDqDLJjaekGnazdTqqAXdNd3f3unXrcBz4d0epvOQvZjxs8elB\n7w7NZa2VN6u7vvWfSazL0V8TleghRIHaA9PTEP8BlfZR5hKSsXpArSpnGbWCMwHoDWV9hscF\nsGUX5hMhLA7mtRBCGAAhhEVBCGFtkfZ5TS0V67e33HJLX19f8G9AdX48EuE3lP0no0pCSG1r\nFz1AQogFNMbo0rNUXudDf4+132ZPd/DbRAssEdhljzTsWuz2hFhXWtIELdQ+ViGj/jnp7yBz\nlPyDoEiIx5xV/k/ca8E/Sp7m6MTg+I2t0vzbTnjIEo6zWghq5flYUoGuN0tUTGvF85Va7pg4\nhtZgTnonutQ2pWnbTiA3pkv1PNAKUGcmXYxHRVlnpqahVkZzPlt7pGmiSfYUo3PPlGCtvn//\nfroxvWeUwl5sZUet2vXj85///J49e/Bj9scXFqh+f03ltQnsmoFpIYQwDEIIAyCEsCgIIZxn\ncHkIPXaeWcx/MuMvR47wW8/WLpvnoyi65ZZbdu7cqbKM+m1cU461mJYDMGy4+LUSdXbZkZ4A\nP83van5bKpV27dq1efPmRKPcZVvze8GR7PoqqvTzoHHcXd76IipTrESCpzniKOFJtLkRifsQ\nJkqg8ZmJvFR9hWkwqZ7apTdfl7imLh1bmmDTr0PkNYj9nk9FCF2MqFRefIgfUz2j6ICY8zPL\n4y4yWJz/RtOKaTqkpRP8NYSeq0w95K662qTSXKxx5QjHxpQzG7WejI0LlHiN/Dq7yoR5CBMn\nSZaJVAXJ9Bp1u3fHdaEKhLCIASzoivAhhPD/t3f2QVYVZ/4/M8x4JwOjKBOCL7iOghHUsAEU\nRDAmIuLbqokCyh0CKKOJrLthNWWV0VJrd8uS8CLL27mAKBOzmEpKN9aSrJXsbnbQJZFsdF00\nq2iFbHQTMcyL8z5z7/n90b/p7enu06dPn/d7v58/pu6c26f76ZfTp7/36RcDIAijAoIwtZh1\nf55TRtXvwugMk8YQXXcsGqlIq7u7mwpCx2VQIo2fG/BJSyZ4gStu9BWhQuM5gkvHbZqow+Sd\nThm1R8/ntJV6Uk24gxvxIvUscSMecp04G+m+JgpFxCVBB83sQkSpa85tUxlH47mQNml6UaHN\nWNcoOYTdTUaKWfOE3qIWh7RI3TLINSE22M6dOzdt2qSjiOwRYU/9xmqTdCJkJ51S/7nN6CXa\nVKRPjWcSiqQ9w7COYu7xHB4e3rBhA11DyPpF2brgfrRiI3FMp/gGzFSQ2PzGLz5xnCBMpxuT\non5aQ+lOPeO0bXvr1q2p8hCGnuuIgCA0AIIwKiAIMwQ7TnLr76THTmiOezRt0AlmHD4R2DWE\n6hE5Hfa5jRKkQ3a3qJzRo2R9gpcqG4N0UEVHt26NzRbWELK54ASSVAZwY1A380JEJyG2AVD1\n6LlriyPLTn5kn0/6wdY7mN5XFhxGkHNOS3YrGkU9KpxU+tDw6gMk2ETppE3PeiGC0NMkaR5F\nFRTEaS/tH2ic0rEy+cDuiqy2WUyFtTkvg0uLEGSX0ej67fS/EdKwhjBzaHoI01/7MQNBaAAE\nYVRAEAYhVb0bGUZonkNobLlCiwaJP8SSNIiKO5jeV/zsaEycK0W/UgswNhiVEJpF7RmtAdJB\nLRnBU//SnDlzuGMnWAFJ9Q/nKuQUi6auFr+if7mC1dEMOgHopF8uTs556LmVJed7yefzS5Ys\n2bhxo7p+FSWjzhF3V2NjI6kI1gvE6g32g44wU6dOr7AVnc/nc7mc+jiHpqYmssKT242Gft65\nc+eJEyekbUbHQrYKHOYoPxohK/s1o4oBXz2tGDj0YyfUHZfiK3Uj4byv9LN0Ljp7JSLfXUSC\n0K2U4mxR0RHilFGxxoPHmVogCA2AIIwKCMKApKS3ou9dIggNBi7swELRI4svePoKN7PZ7106\n0fq9RV8QisMvdhzD4ukxkI5u2WDc4Nhz9KMYOYn/+kWsZdu2lyxZsnPnTsUaQnoXl2uK6IRU\nDB+l8Ys1opMRdfzSFu52F20A5HAI9eNg2zY5mJ4rhNAn5hHYRsgdWenWLLl2K61BLgl6XREn\n0YSeS2q5cqAh6aYy6hrXqTURe+T3DvJjBz0K0ma26g2yGNiYgMmpBSHNoLj2kpYAawbbKtii\nyDPTj7mWI23bbLT0wWEfB/qVL0HI3si2eTFRz1JNj4fQrD3HgGhMdGsI1RlPVbEYAEFoAARh\nVEAQhotO9xRpF8Z5CIOnpfMGdUa/cR1hZOBmSUp6c18eQg5xhKrOlJsX0RN2cKM5tzDE4pVG\nJR5Mzw7s8rKFatLBHAc7FjQrKzYtg3LQb/PcQJZAvU+5XE6Mh0wZtUcG1g4z/KWSycA8z2ET\nbTasc0yMgWaHuMvcwjijn3E3q0QbdDZbskf/UmDbNvEQKiJnzfP7leIW1s+ZZxaFstNiacWx\nznNndFOnU45pVOQr1gvN/TjCCRuaLrWN7orE+X5pc2pqatqwYcPSpUuJwKPB6OrKOe7niFBj\n/BaaXwweT+72gCHZBkw+iIJQDCONNmBewiJSG9gegCU9u4ymoQr0gSA0AIIwKiAIWbLVlUhR\nTxm1GS0R0Svf873LXXHb6NJX5AER1xAGh0bFfhCD6Uw49Bzm0rGmL/P0A7tBBaHtolE5qxRq\nxx6N+JU4jFbPQnRkLlMxWnUM+jHbLgLYYXQFGb5LN5XhCoqVxOF6Dm0BTnuLwRxG//hKSH0l\nzyywJN45t8D5fH758uV0yqhYJtROhYWaA3fpdV+BRThBaDOeK9YbyXYX9oibjkUnLRayqQw9\ndsLv7RWLwkNIi1HavLk2Rh8ZrnFKW2mIFaQZVVgpkng4Qegr8kpunBCEBkAQRgUEYToxfoXT\nKaOKmNkkpAmF+3LyjJ+OhNgr7K/sClPVSYtpSQniIfRlD5dH6V8ugK/I2XFnOEYr2bx5886d\nO6kB9IPCAPoVKzA8B9xi1bOqgJ6J53kae/wjDy6btm3Pnj171qxZ+o3Zs5QcpnxEpaSImX6r\n2WBY0aITrb4lDlOJ7K8G1DDuHEKbmcyZz+dzuZzCGDZCRbGzLcptC9boiOKZZXcZjQi3ug6S\nF+M5FFIMItGcMhpiV2OPPumBuzfcn4T8opmR9HgIIyKiDiF0QVgJ6hqCMCogCBMhuofWUxC6\nwWkVdiJTpF2MzjCXfqb/0kEeZ7ZfU0l4URD6ikf/hc3lSGES/cCN2t0kpVQJ2KPX8GgO+jXz\n4simjEojpMa4Zd9mdjRhZ9apjZRWN220TU1NuVyO2x3UrbUEfF50oNlZsmQJnTJqM2ck0PWH\n0oToX6KC2O1P2IyInkYdO8V9QalTy+0Wm0FqsC/Y2Ig3rKamht3lhROEXELs1Fyb8b85ox01\njldrpFfYolC3W7859cTgIeU6CkrATWV0UomiBMJFXV/S7CSyhlD6KDmjf6cQG7NODPFQ9oIw\nIuAhNACCMCoqVhD67TpD7G3dRm+hoLnLqCZirkWbo3gPqSNUvDu58Rw3GhAHuLZMEAbRCWo8\nLVekq54nKa0XLn5aJr6mnykKQUcQirFxg283SGWR/SeJNvD027Cqj8s+u3MGF97RqOjgjZze\nzq4hZONk8yhtqGKOqHL2LBZFAFHt0GhZ16tn7nxJBc0HnCrVOXPmeJ5DyDZvureqdCWkiK/f\ndNxy4TaRVSdOzT7H12xDz01ldGxT3+gWSejvSp2v1I1Qv1dPz6YyItLOgf2K7ViieDW74VcQ\nhmhYbHmMAghCAyAIo6JiBWGC6Iw+dYJJCVcQ6iAd4uvM0QqSotsH9V1UMHBvTbcpo4m/aTgh\nJw3gtj+H5+iZHT3oj1zZzwpB6HfJE7GB9eapA0h3JnQz1Q2qvmxmJZvBBC1fjVx6DiGbEQLr\n1XQb+9IAbivN2EJzKx/PMrRte9y4cfRwdjUK767Z00TuoucQ2qPPnXe7hcsv285tlwM2FLAV\nwZabuCWM1JiouxG3+IkgJGsIpbe4XY+C6N4C3EW/fZoIKwhjqL6k4GbZcE+N327QzEOoU7zl\nWv6ETAjCtD0FEIRRAUGYQti3td9HMX5BqMZt5OHENVRyS5r9lxWE7IDPEfbBF++VXlFf10cs\nPU/NIEoLz/idkdEAdchojgY6OjroGkKdJBRfSb/lhIpiXEtDUkGiM+gXc0oO7suP7Iafy+UU\nA332s/74SXEwvRusjFHYw/oMuaypi1EMxt0rtjpFG2P9lr5KhiD9gYPuMpoX5sQ6zPpDz8i5\nWuPamO0inh2XJuoWM3eRK3bxUVW0VZ18uQVQeAilHYtnBn11aFzBcl2N6JxXlBIXs6j22XZr\n8IOOMzp3Oh5Cz4co/agrVOpsVFRKUsdOZJ1MCMK0AUEYFRCEoeD3ZekrZvGi4p2XNkHohs0M\n3x2ZpBEDO+G9G7jxxJYtW9zWELqNXcwsCbeR0DE3HcuyqdCLdKsVNnV2TM9lh333u+WUXDSY\nMhoEMaesMdyV/MjO+85IZj2H3YqcOnqLG3UwEISsMdQ1yv66Ty10mNpnlZvYADwT8vyWLvBT\naFQqTbnyVw8uxdYoXUPojH4k8yNHPhB/pkFmSVrsikq3x8Rvj2T84AfpMagglEpcAtsD09oU\nOwT6QVECXBK28LOC1ADxuVP3PAqrpE+x20OtSLe/v/+SSy7ReczVPYYijK8IYyBguvl8ngrC\npLLgl5TYCUFoAARhVEAQxoPn680gQun1rAhCHcRBiXRo4ri84PVR7DLqFq10FKsYeLndGGKr\n8Bw/uQkD9itFFmgwulG+piDUKZNQRlHSrYa4f6k4Ubu5FJbYo2eZ+m14moJQWlMcNBei1iVW\nUa9vkG0zxYeLFUvOyA40ZLatYvwtbl3D5pT9VwxDBCH7+HuanR9Zg8qe66BZCFxmxYtsG7AZ\njzRbFLTwuXWM5AOdf8vWDl3pSguWpsU27Dyzw6otO0mIXCeCcOnSpb78Zm59bOWgv4ZQbFTs\nYxtK6bnVgjTdBAnuIYw5C4mXGAGC0AAIwqiAIIwBX2ORgKRQEEaacTrwVQ961OVvcOyE28uY\nGxCIo9sgyscvOmrHbaxsy3xQzujx4pIlS4rFoh3AaeZmYfBiETWMp1zhUncLLE0uPzLL1NN4\nIgilZUtglwKqy4cbu3Pnj7NfcSHFcwVpAJ0fNaTGsGZ4RsJaJQ3JtSg3Qah+rrm2bY8oN2dE\nhilqwQAxO255lD4ybEjPrkznodPcZTSiLiie910UBNxURt2wnejPIUwEX4JQ+thmvQTMgCA0\nILuCsMpxHCvFtLe3r1279rnnnkvaEJ7BwcGurq76+vr6+vqkbckSvb29e/fura2tbWlpMY6k\nUChIb29ubm5tbQ1gXThm+L2xubnZsqzW1tbm5uYFCxa0tLQUCgXyFfk8MDBw++23jx8/vqam\nJrjNJFo2dZKoZukZ51rfQmn87HUxF7TE2traSHYsy+rs7GxoaKiuruaCiSUcaY6kiIlyJlmj\nMyjey4anlegrIVJWTz/9tGVZhw4dIhfb29tLpdKECRO4eBRJqGHtpFG98sorl19+uWVZ0iZX\nKBTa2trefffd1atXP/3001OnTiXB1MUiRiK2EHKFxk9iVtfF3Llzp06dSgqKWsJh23ZfXx95\nF4jmkeR0Sk+awebm5h//+MeLFy9+99132evEqra2tjg7PU/066hYLLa3t+dyuYaGBs2YuQql\ntWmNPAXvvvsuacn0M+nWaBWwEba1tVmWRS4+8cQT77//vjRd0gBIIXOdJG0nBGoP21NxF6k9\nlvCkEyM9a3P79u1f/epXx44d61livlB3g74evRTS39+/ffv2e++9N5fLxZNiIq+V0Onu7s7l\ncrW1tWFFmPWGpENXV9fg4OBpp53Gjj3SwNDQ0GWXXTZz5kyu4/o/YlSnJsBDmGbUv39L8fQQ\nBvHnBFw95QmXX9EhEG789OKWLVtuu+22oaEhgwJ3S0KaEfYzOxVNdCBI/9WxzW8WqLWiZ4Nd\nXyS9kWwqo7DWZlZ2OXo79CjMi+4nZBo5O72QC8BOC6TBpLFx3khaAuQWOmXUlwPBb0ZIPI2N\njXQWohiSJmTmK9NplrQNjBs3ztOHr5iCqz6HUG2e57fcM8sWoD3i8GRD2sy8Tdu2SSHbRjPG\njWFLiXymx5ZQduzYMWvWLLLLqM1Mo7BdoH5pbgdXLmueBcuVLfnAuaN9RcJ9pbhRGpKtX3Gn\nXLHiuF1G2b/s3N3ouiO/pMGSvr6+DRs2pPwcQu4BTwPwEBqQXQ8hBKEhKReEUfQptiDVDN46\nOlNGU9UhhkLA17N0yig3rNE80MzNPLWd3DjebU6RmQGat4jDOOmNrGTi1hBy4aW301VPZOcP\nzSxI41EnFARa1J6VQlPXX6S3adOmjRs3OhqHv7Px69gs/ssOhcXuRYyBCgMqEQ0QDaZX5syZ\nQ/ZxlRYXtTY/srsJbfBum8qISaiLS/ErjGckbg8vtZN8YA+TbGxspAHodSIj2buohKPVxMo2\nWh30XodZRugwlUuKl/4EsHz5cjJlVPPR1m9pCb5BgliuGf+2bdu4KaOKtsr+K7YftrRjKzfR\nthgSFaeMJthI3FA0fmngGLIAQWgABGFUQBCmiuB9UIhrCLkBcShxphOdNYTiUJIdYZtVnNuQ\nVGcAEfXASIyZi9weEYR0hOo2XNZxQLH7auRHb5WhvlFhsMFXilvU/lIumFvIfD6/adMmdlMZ\nIhvowQnhDm3dPlOJIhYyq0nIdXb7Ey5+v6uhbIb8yDawdF2fW+B8Pk/OIXRGnDzhtgcdsxUX\nRWEgDUYfgbzLIk8q5OiRj9KopOlS2BrRXEMYNZ4N21ezj2GYHtHB9G5tI4YcqZG+htTNTCQT\ngjAgUdQUBKEBEIRRAUGoTwwdt98kxMARbSojjvzEkU3oScQGJwht2cwiKexbk7M/eOGIowdP\nQRI17NjOHpkyKjXPZhwdXCRsQSncbuxJ6Kw2MLDZ7y2+IlfMhbMZfUiv0ymjboUjTps0y4J0\nIE6LkX6QVhM3RVDa9nQ6K7dhJfsDgW3b9PhHN4VJBSGXNDuFT5queFEc7GrmggZTuIt1cCs3\n/VrWDKkvCD2nQbq1Rh1LdIpX/8UnDalT+46sAUiJSBByZkivKwyTPkoBm6IOnqVNiO4cwvIG\ngtAACMKogCDMKG5vjhTuMpp+RA+h4i2rPwZiR5CaQ09FJJ4hPcOELo3YKaNSwaBWGlIUAezR\nE+3oxEK/pRp6OYiRK1I5ceLErFmz9Ie/4o6gZlapx/E0jDQhrrTV9oiKSxFSeoVIRDYeccoo\nlwqBnXvpmajUSB294as6bGH6sTqwX0mguJEKQptB02wDAkbuOYkgCL6idROEnpUedQmLSJsi\nW5Juv8qFDgShGRCEBkAQRgUEYZmRNkGoGIaG+JYKGJWvYyeCm825X3zdK1WJrAgxMM84R+I5\nhDqDaZuZHed5r+f4mGoYoiI8fR1BcFML0rTcWj67qQwpDbLuS+FpdJhBns6ESV/Z51oUVVbq\nqrS9vLWcDWIq0mg56HzjxsbGJUuWuIUUy4pd6ep5hge9yx79Ewb9wDWq6IbX4bZbTw9hKGnp\naGOdfEVdtp5JU8L1EAbJkd/24NYRiZO9yQdWT1IBaWYwBKEZEIQGQBBGBQRhRHiOESNCUxAa\nWxJWFsTxIvuvONEuIkgSAc8hDGhA8Bjs0asZxfg9pZcZOgfTuw2yObgD9NwG35qDcns0zmgh\nqknobY9EeOLECbKpDHudzo9VTJsUHxC3PWncHhzxunSeMxvM9vIH0hsVs3+lnx2hmhQFXiqV\nNm3aRFIhTUVTGDvCI+CWIuvGF2OWRsLdJf4YIX5mcZvvKiatLhxqP2cA2VSG7DKqvrfSUBdI\n1FNG9dGpd78RqgPELwjjb5ypehwgCA2AIIwKCMI4iaEn0jl2gn4wsCfOzlRzapaxSbQEFIIw\nkZeHWDWaY1+3r1i56CaK/Kbo6AlCdVriBwI79KcDbs3dROhom7vORkij9TsA8gzv+Vixawil\ncXJPqPoRYOdwhthW2SLiVI0Y0hHqUdyuho3KrQtS2E8EIdsAaJb9Zp/tVbgP+ZGNOqUFonlR\nGobNPtsIpbNJxX/VjcrtW4WHMFylIW0VbNZsBrfURS+Wm1/LEZ4RqVXGT0R6BGGG2Lp164YN\nG7Zt26boK4BIcEFYgeUMQRgVEIRlhq8po+wbOkqjokIcbInXdfAlCBMpK6pewo1WfbqAZ043\nb96s7pTdYnAbBLPDffEuzhujP75UjBrpOJWTiNzt6gz6ahJUEErNc1sRpDbAGT2A9nueh448\nYM2gxycoYtM8mk9n3mk+n/c8doJ1mbIGqFOXSi8qCMkmqOxuN6wH1XNWrdt1N/0fOjt27Dh+\n/PjSpUtZ5yH5wBkvLQfx9zi3sb5nIasrwvNbReSKkDqCkLWNFg4nCANWkK/bM/oidrR3Gc1u\nBkV0uk1PIAgNgCCMCgjCMiOiYyey1elIe2qbgfvKYMpo/LhlSj8GtfZzi1yRBBGEoQzmdFCM\ntkX73eqaGwK6RUgFAP1XcymaZwBREEpjUAyn8rJzGrjxPScA1KbqjGzYroCa4Yz8pqCYi8uF\nV8fphqcgFKNlN5hx88UprOUs5ALYo8UnvUKDsXNBybfsfE72unhF9IqLkatbI4mBFYTkAEMx\nRUVOPXF7xJIiLEuoIBR7CTa/3GfOEnol9F/x3Ei2IsJaQ5ie5hQPmDJqAARhVEAQlhkRbSpT\nHt20+NomI6dMCEIRcYTnt5rU4T29ZOw5hNLbQ2k2ikikgzP2K260bZyiPTLTj26HoykwRHQE\noWiMNC3bS2g5o49Nd7NWMxdcSbKpk31xouslfAlCFm42KckCdYyzso1DUblcjYgh3TSAqB88\nVZlbSLf42WbJThlltatnPKklHuPDnTKqmPiqcz0UYig3bCpjBgShAdkVhFWO41gp5sSJE/fe\ne++uXbuSNoSnVCoNDg7W1NTU1NQkbUuWGB4erqqqGjNmTGwp7t27d9WqVbElFxas2cPDw8PD\nwyeddFJ1dTUXxrKsV1991e8D4lYma9asmTdvXsqLi+SaM5JYzl0fHBysra2tqqpStIF4mgdr\nM621995775//+Z/FwGvWrOEqlDOS/Zd8FnNBUiEJzZs3T5Ecx8DAgOM4dXV1vjIo2kY/sNlR\nV8Srr75qWZZYj/pJu93IfkXscbOELU/yd82aNWLRidkcGBjI5XJ+beZik14hxm/cuPHTn/40\nNYM0eINnPz04jjMwMDBmzJja2lq/93KVyNUaCUOvfOlLX7Is67zzziOdG2lpbJskz0hraysJ\n09ra2tzcbDFtSWwzbPOmFcE9dKTxkITECpVazqbo1hWTgWaIAw+33kPa54gf2DA042HZpmmt\nZ4rFYnFoaKi2tjbOsYdfUjhWGRoaGjNmDDfwABTpS2dwcLBUKuVyuaqqqoTskjM0NHT11VfP\nnDmzUChIA6RdELa3t997773PPvts0obwDA0N9fb25nI545FTZdLf319dXX3SSSclbYgHu3fv\nvuuuu3QuxkB/f//AwMC4cePUL7OVK1c+88wz9F/WWk3Ld+/ebVlWInmkqfsyQJ3Hnp6e+vp6\n0ilz3yZeIDRmLglpip5VuXv37oMHD86fP19hKm0e5INb1j755BPHcU4++WQ3A/QzSG5hE/Ks\nYs1qovlVROUWP2sMKX+x6Lh058+fv3Llyocffvi88847ePCgGO2uXbuWLVvW0NCgb4kvWHtW\nrlxJrCWWkzo9//zz582bd/To0YMHD55//vmffPKJZVkNDQ3vvPMOvevo0aNTpkw5evToypUr\nQ2zS0jrdvXv3k08+OXHixIMHD65cuZJcPHr06EcfffTNb36T/NvW1rZly5ba2tpFixaRMLR9\n0nyxkDBEcpDA7ENEUuf6QIXN6hKgbUPxJFruT6slPNHW6EfAs/xpLVtC7V922WWlUulrX/ua\nNVImYpaTelVJkxa7Arfi9YzKONjg4GBfX199fb3Brw8ZIvR67+vrq62thdvDF729vUNDQw0N\nDWkT0kNDQ1dccYVCEGLKqCGYMmpG2s4hdMPXJJaoZ7wEnzIqnesV7gTOsODmE+onKk6E4w6m\nZ08XdMt+4jPWWMOkM045yzWnm0rzy27mQQP4nTLqic3AXRcnCko/5L1OceDmpkpzqihVkgRZ\nxkZOnJemwrVGdlMTzymjmjMqPcOIt4hZ4/YmpRdZaMbZ6anszjRsHmkV0JV+NGZyO1tBNAB3\nVAlbXCQAmTK6dOlSNu/SuaNSO6XEtiIuCmz3md7sFcWUUfXMW/EBFJ+FOAtQ2pWxX7llxAB2\nymg8nbw6lXhsCJ4ipowakN0poxCEhsQjCOPvNaImK4KQYjySc7toUKdRrCFkxUCI0YaLdGio\nf3tHR8fOnTu527kxU57ZvdPMQoO7DFIRB3PsdW4E74xsQSm11q1lkuH7pk2bNm7cqNNQg+Sd\nu5fdY8ZtNMxKESkKQcjFxobkEpUKJ84GttjJ7cuXL1ccTM+ZFNaY2zOb7FY6UjEgbuYp1jv7\nvHCKjgvDfSU+uWwY27aJIHzqqaf8ZNobzWaZbL8XROroCEJH9rDrpJgXFma7xRYKsdVC2tYQ\npvm1ywJBaAAEYVRUuCAsP7IuCPX78RDHJRndVMYvngNccUypjlBxDqFOWjoh04A4jidihji7\n6FBeutOmrOt3ggAAIABJREFUmE3qIWRHlp6uWmM5LUZLnXWckVxI8dR7TqeZ2cMOqek+PQRp\nePKBnENIbySnQXimpWOP57duI/70t1sqCA3MlgaLSLQYWBJpnP39/Vu2bAk9UU0zxIdLfSWi\n6vD7pKdNEBrjmd9wCzygIEx/LxQFEIRRAUFYZrgJQp2hT1mSWkHI/dJsFkOoFsnjt0c7LtgA\nmgfTq8UMJ0FtvZMSdC5GCjfIZnGUc3GJh5C7SMOzJ0OGmClR07LpqotUx9ft2ZKlg1o2Wlpu\n9Nx2NjCZMiqWsy2bFutpAxfeM18B0X/M3cKor7t9qziYPkPE/2gnezC9tCUHKQTNfjUgMQvC\nBEcsqRKElQkEYVRAEMZPpH2ZmSDUfFXo/16YLYgg3LFjB/mXy6On9yZcRBmmCJlIddCxu/rY\nCQWaS3GkAsA4ywEHVcb3ckgPppemaLucfh4QqRCiQ0ZWmooPAj0WT11xwS0keafL5MQ1hGKT\noM2S3JUXViRy5kkbVeItLcSYqSD0a49Cf6qj8vzW05IQi844KjdBGNy2lLxAPavJQDqWjYcw\nZiAIDYAgjAoIwgyh8y4xnjKahhdVUnAeQoOiYIekYUFfzDErUn2WLFlC1xCyI2njn6I9h+Oe\nEwW52NSpRIFC3ZEPJ06cuO2226Rh2M1I2Ot0tx522x631PWzRhUUe5Fb2ifNl82cyhidXuWS\nO3HihNqfyYk6e2TnFTr3lZOyfpuBIrwoNfWjDYK625F6CNW5EH22mSO42du2bYvUQ5j+ghUX\nOkph2xIEoRkQhAZAEEYFBGGZEe4awsRfXfH8pGo8ZVQ6EIzCZi5ObujmRtQ72rlNGaVWsXuZ\n+I2cHbirw3ClEUSOmt2ojpOrO6mHUKEo2M95ryPmxdQN7WYMs23bbfscNow6rYCWUA+hPeI1\ntd13jHSExsNZy25po2m/FLcm6hmV1HJOrHom6gi54yiPKaPxc/vtt4clCJOS1vGk6CkIU/tT\nZnqAIPRE7CohCKMCgrDMyNymMmkg9DWE6kFqiPEn+1u+zhpC6Vg5xH0gubE+/YoO+h1Gl4aS\naEDYTWXoRVFfcV9JK9ozR0GyzN5LnGycbdQkeoWdU+oWJ5VkvoyhawgdodLF3Uo1pSlXyCQe\nOt2UVYyNjY3s2k4xKrec+sqjJvrR+hWEtBDYVLii4DY45WpT2j7ddK+0kUvLTb2qVvq8uIXX\naRvJriEMi5i7O04QRtf+oyBBUyEIDYAgjAoIwjIji4LQbRzgeVdYBsQjCBWBw30hSYdc+vfq\nB9bcVEaREHV5scotLBQjRSdYKQVBfQ6hzcBe5D5Ib+REi87o2RNaNfRfIvnE4wSlhamoUP3C\nt217586d7BpCt6p0RsqBjd/W1p9upUe3QnVGnxzoMN5pUixkhipt0rRGiBkkErap50efOUEN\nyI8+3sCtSbBfiapp+fLlGzZsoGsIbeZUQ2mXy9kg1oJOGeojbT+eaUX6tNoBBGHo3Xi2yPSU\n0QQrDoLQAAjCqIAgLDNSKAjdhjJcAOm4RxFPiCS1yyj9EOkLSXM0rD9ApwQRhDoGiINdgwg9\n4eY1uVVHWGLV4GB6OpTXzJGtMZ3Sb6mKw3dpgxFTJDJJar9+Y5NuKiP9l36g01zZnFIzuIM3\n1IiB2TJUPL86gpB1vukLQrEQxHM71B5CnTafBuI3LERB6NZsjPu01JIGQajfPaantUMQGgBB\nGBUQhGVG+gUhvUg/S1+N0glaCq2oaYn0erKC0NeVcA3wHJTYI3489gq1KlxB6MuMsOJUfMUO\nxENMWl8Quj04am8qK43cKi449uiljHnmOEF1wdKqzMt20OFC0q9EQUiDuaXFCiRxzjAnIPPM\n4kxuDqoxbBZE6agfP3uLVGAQxPbgd1MZYxQWigFEY9T2uBVadH1jiFNGpUayHmYxvKIAo8sy\n29epLXEjDYJQE89WGicQhAZAEEYFBGGZ0dPTs3Xr1qSt8IfbW9MzTCgJOfEKQh0dEoMZNEVO\n/Ojf4sQoCNX2cOuaokiCygZ60ZfflYUVhAENpvMSdQbKpKCka+FoAF/2SGcechJImgr5wC3V\nczOJfOCmjJqhGOxyypk6EtnpoCz0un7SMT/XjuMMDw/PmjVr9uzZUt+saJLYiti/Cgevp4ow\nznvwQmOfXLeG6oy2nArCiJx4bkUklid3i+IFEXrr8ttiMyQIQ8GtcPz+lgRBaAAEYVRAEJYZ\nUXgIE/nlTCQ6MzQFYYLlYPvZWzKU5BzZSXQcMQhCTY0qXpEqJV8FqBifOcJGF/q1I91Uxi+K\noblntPr62cBCscAVqkk0W5SR5LqbhzCIeW6Iyya5yqUB6GJFVijSeaH2yIaotASkA3r6rHEu\n03w+T/byoVGRgxnZAOKCQCqzHccZHh6+7bbbiCAMS9uYKdvgejisrk8nHh0PoVvnEMVBLJp4\n6ky3MKFQaYIwLCAIDYAgjAoIwngI/kbUJIVTRlMCO+jk6iKRKaPG+Br9B0mCmxMoJqcWhOw4\nNX7EQbB6jqImigGWZuQGawh1rGI/S3MqvUI1m4441Ck3dRix9MTw3Do68lkqCENpXZ4xuJ1x\nT58RMTabmSDqaaRUH/oynu3W2CfXbQ1h8KegvCGC0LOh+kWMgY02+O99mo9nWE86R1iCsNKa\nJQShARCEUQFBGA8QhGmGFYQZeiFF1KikcUpXo6VhyqgB0gyalaS6CqRfsYIwRNeNmwFuA02/\n+Q23sZGMS483pGVCU5wzZ87y5cvJwfQ6MfuyRGd8zH7WLAR7NI7g/BR1oIFO42zjvo3oHMIM\n9ZAKFFUZfA0hjdlv52CWiq9bQqk+MRJ4CM2AIDQAgjAqIAjLDAhCAww8hJpv1rDCpAqa982b\nN5NOmVzxXBLmFltUhhrB+lscZmRvFpWoT06cODFr1iy2xMKyWSeM6OnVUYxiAOMCkV5XuCiJ\ntfQcQm5qpfR3CmkMbib5aq5cVKE3XUUh+L3FYQRhDI9Y2p7iIBgIQjNtFjAkvS7+0GDwc0/A\n8AaCMNw+JMQk4gSC0AAIwqiAICwzykAQRvpylZKtKaPGhP52lHoI6QibXTxmIIzT8y63mX1r\nzG5kEdcQakYbVoH4ckbZLj5GNweXToTq8Pl8vrGxkbvoNmWUnV+qltYKrcgqzGRbXbips4Iw\nPU9T+knbwfRmPwf4ijN48zAThGLL9PxxKgoSfDogCA2AIIwKCMIyI1lBGH/HGspYJx5BmPiY\nzNMAvxZ6riGkH2xha42MEnwgtWnTJukawjhH7ZybS1RTCvmkcMRpJu15u6hXOUEoVdrO6LxI\nV736sk19expUltoAxZRRna4glNwpGkzAaKUJhRK5uIawjPFs5JrxRDpltIzrAoLQAAjCqIAg\nLDPS7CFMbbeeknMIpQFSW2iOzzWEbjKA+mfi3EbVE79Cgn72nAKqualM1GsLuQ+O3pCaant9\n89zilCYnNcxxnFKptGnTJnHnWC4q+peNh+zP6TCNTVS/fhuePRp1SEfY0Cgsqal+ZIaHhzds\n2MAKQrfiBSxmglD8RcMvafiJwRiFIMx0vqIGgtAACMKogCAsMxSCEJ2y41IIaRCEWXxrhrKp\njFQQBh9dhYjfqqHZkX6rIwgVIkrfjCDYtt3U1BSKhpFWpWZGaDBxyignAjnUDk9uoikrcTV/\nphHNSCGhbCpjnDuxZOi/is11FKlzOt/MKh1C3FSmcjAThOFWaBaLHYLQgOwKwmoLgBh5+umn\n3b5qaWmJ05J0ksJCKBQKlmW1tLSItpGvzCIMBRKVOsKAybW2tpKMt7a20ovSatIxxhOD26VV\now5vjc4Oyz333LNv3z6dGERTW1pa6EXx21DqnbbGBx98UGqVIi2pbUGeOEUzoJVC/jY3N7Pf\nLliwwM3CQqFAv21tbSXN79ChQ7S+mpub2YwQyMVCodDS0tLc3EyT89s2dAjx+XWLk8ujJdQd\nyawlVDq9ro6Zlk/MiObR69Ir5K9oreI16hmzFaDNR1H1xoRlDPuMcHHS60EeItqYU/hyB2AU\nccpTA+AhLDPSPGU0taRtU5mAv3TG9kMp8RCG+Cuvrxion8HAfRcc43iIh5A9UtxXoqLjMZTz\nFX3ZIJokdcGFOOtV6iGkB7WLCdnM7FCbORVQjJlO++TOupCGp75fGiF3OrwjOLI4x6PbDj1c\nFtgNmZzRZU5dmmwqbBboKsodO3bQKaNiBXm65nQ8w25GBg/MpRtu23ZzXRL6+/u3bNniZoni\nxphJlXea8xDGaViq1hr4hfUQZjcXMZNdDyEEoSEQhGZAEKqRTmTasmVLqgQhS5pfEuyU0TTY\nSUfGvha5GadldiM3ZZQb63uardhMJdIBopua4v4VB/H0ryJrnpZLdxn1tNNt3D9nzpzGxsam\npibFUNJm4L5iD513Rmcw6lbnyCqCs4SyY8cOdsqom8TSVIblhDpHke4yqhC68ZSzX52vieam\nMmluS9InSydYEDBl1AAIwqiAICwzIAgN6O7u3rBhQyYEYarGZ55rCNNjKiEN9miuIQwiLdyU\nTBTQhKSuS+5fX1axgcVdRhV3acbPhme1nKiudbQTKwjNRvmsrvNVUG4u4rAOpmezrxa9miJT\nEcbz7BBpTt2S83SeS6+HKAh9tcY09E7GZP1gev0nztcT7RkzBKEBEIRRAUFYZqRZEKb2hSed\nMqr5e2EaSMowhSB0ewvGqVU0idkYzV1GOeLxPukjDv09N2WR/rShHq9TyC6jXKIBGxJnuXFI\nVr3bI95pOqUz3NZFJRn5QJyc9FuukRAP4VNPPcXmQpxo7flIpqrhhYu0RVFB6CmAUwJXldyV\neOyXCsJU9fNqojbV7bcSCEIDIAijAoKwzMiEIHSTCkm9feNcQxjbO5JzOESRhPEuoxH9FmtG\nzMrfTBA6ftwviudI7VoxyDjbxtgZmHkGz0g8VwHpTxk1gNNU5IPaHoXHiROE7ApDDme0f5Ve\nkX6m8dvMwsimpiZutSGL6CEMpWEr8k4/01w7EejJqLtQHQ+hZ/Ngfx+J4qcBTSAIUw4EoQEQ\nhFEBQVhmpFkQqlEIwqjfK2nbVCYU3HRgiIUZyrETHOKv3dJvswVrtrEgNMPXcDBg8VKh4oyu\nR4OoSO1TWRWpINQ3yRndLDmHjNtf4+TUdUfL2S0VKgh1fhIK/cnK4qNKbI50DaE00TLo6LI+\nZTQp0ikIU978IAijAoKwzMiuIEyQshSEBvh9DUQhCKXoDGdj2EWGM8NzhZIUIgjDfeNKj2t3\ng8uI22fuFr8msa5C9jr9V+HaorCCkJ0yGgQddeQZg2YYz/JUGBO8SRusIQyxWaZ8TKkgFEHo\npvGiLpak/JBbt26NThAGz1RqWyMEoQEQhFEBQVhmZEIQpq27gSA0Iz2CMFlsZmWXp96IQhD6\nRS1UfMlLvymyQtFtpqgYmHgIafEG3FLV741ceH1BGCSV4NGGtalMpRGzhzBcAnrmzdJyIvYQ\nprz/D0I6BWHKgSCMCgjCMiMTgtAvUf+iD0FI8PsbdmyCMAhqyRFFcjqCMKLUDVB4PuNJnTXD\nLV3plFExvKbZ6mA68/fM0jU2yYyyEYQx6wGpIKxA36mv31wwZdQMCEIDsisIq6M++B6Asqel\npaVQKBQKBXqF+9fz9mjsSjX65UMhBVXexUVaTnR5bGlpcYvcoEZCpDACd100uLW1VcxCc3Nz\n1PazlpC01ClylhcKhba2tubmZvYK+y97o6cxbNIkPFd6bMzl9Mh41nL8zTjE4jU2PkQbMtRa\nFKa6vYKT7eUASDVxylMD4CEsM8rSQ2iG/g+c8BAaYNu2pocwil/Eg0wXjGcxjxvEQxinF46D\nbt2ks0SNneFpR78PsJufkKwhVJjnBrvzCp1uGjwLigV+iv1do57pwFE2HsKYSfmU0RimPBjE\nRj2EWfF/pgR4CA3IrocQgtAQCEIzIAgNqARBGLoC0RGEoc+si4dI7aRTRrnZktGlKMIKJHpF\nEZi9i7sej+U7d+6UThn1vFExemYXIqonrGaU+AWhjlaRTvT1LH+3b6P4YSWLgjBxgk8ZTWe+\nogaC0IDsCkJMGQUAJA83DzD4xB6diZFcGDL1N0QbIiKeOV00FcUs0+i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      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ggplot(df, aes(x=payment_inc_ratio, y=partial_resid, solid = FALSE)) +\n",
    "  geom_point(shape=46, alpha=.4) +\n",
    "  geom_line(aes(x=payment_inc_ratio, y=terms), \n",
    "            color='red', alpha=.5, size=1.5) +\n",
    "  labs(y='Partial Residual') +\n",
    "  xlim(0, 25) +\n",
    "  theme_bw()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Evaluating Classification Methods"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-04-23T16:10:57.320419Z",
     "start_time": "2019-04-23T16:10:43.978Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<thead><tr><th></th><th scope=col>Yhat = 1</th><th scope=col>Yhat = 0</th></tr></thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>Y = 1</th><td> 8376</td><td>14295</td></tr>\n",
       "\t<tr><th scope=row>Y = 0</th><td>14619</td><td> 8052</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "\\begin{tabular}{r|ll}\n",
       "  & Yhat = 1 & Yhat = 0\\\\\n",
       "\\hline\n",
       "\tY = 1 &  8376 & 14295\\\\\n",
       "\tY = 0 & 14619 &  8052\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "| <!--/--> | Yhat = 1 | Yhat = 0 |\n",
       "|---|---|---|\n",
       "| Y = 1 |  8376 | 14295 |\n",
       "| Y = 0 | 14619 |  8052 |\n",
       "\n"
      ],
      "text/plain": [
       "      Yhat = 1 Yhat = 0\n",
       "Y = 1  8376    14295   \n",
       "Y = 0 14619     8052   "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Confusion matrix\n",
    "pred <- predict(logistic_gam, newdata=loan_data)\n",
    "pred_y <- as.numeric(pred > 0)\n",
    "true_y <- as.numeric(loan_data$outcome=='default')\n",
    "true_pos <- (true_y==1) & (pred_y==1)\n",
    "true_neg <- (true_y==0) & (pred_y==0)\n",
    "false_pos <- (true_y==0) & (pred_y==1)\n",
    "false_neg <- (true_y==1) & (pred_y==0)\n",
    "conf_mat <- matrix(c(sum(true_pos), sum(false_pos),\n",
    "                     sum(false_neg), sum(true_neg)), 2, 2)\n",
    "colnames(conf_mat) <- c('Yhat = 1', 'Yhat = 0')\n",
    "rownames(conf_mat) <- c('Y = 1', 'Y = 0')\n",
    "conf_mat"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-04-23T16:10:57.950020Z",
     "start_time": "2019-04-23T16:10:43.987Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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Pc663wknTihN94IjY7Wo4/y/1sqRDnyRiFMT08PDQ098yoykZGRaWlp593Z4XDM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woD77TK++KgvvJw8AAJwDgxBO4OhRnTql\nWrVMdwDJIyJCK1Zo1y6Fhur6dUny99fbb2v0aA57AwAA58JrE5gWHa2KFWW367fflDmz6Rrg\n0cXEaNky7dql6dN16ZIkZcig6tXVrJmaN1eGDKb7AAAA/geDEKalTathwxQYyBqEi0pM1LJl\n2rRJP/ygEyckyctLXbuqQgXVqaOsWU33AQAA3B+DEE6gSxfTBcDDiYjQxo1at067d+vQIUVE\nSJLFoldeUatWevll/n4DAAC4BgYhUpslIkJr1qhhQ9MhwMOJjtb8+Vq5Urt26dixu49nz642\nbdS0qSpW1BNPmOsDAAB4eG44CG02m+kE3JfdZktTv76OHrXt2qUiRUzn4B/Y7fbb/8mP0l8t\nXmwZMMBy+LBFkpeXypVzlCun8uUdL7/s+OvBwFT7/8zhcNhsNofDkUr/PDyS298m0xW4L7vd\nzvfIyd3+LcdTkpO7/XNk4Q7azupff3zcahA6HA6Hw3Hz5k3TIbgvh8OR2Levz+HDcTlyiO+U\nU7o9CGNjY+Pi4ky3OIUtW3yGDg3YtMlbUo0a1nfeiX/hhURv77ufYORfZLvdfuvWLQP/YDwM\nu93OU5IzczgcLA0nd/spKSYmhrHhzOx2e3R0tOkK3JfVan3wJ7jVILRYLBaLJQP38nNiCQkJ\nCY0aBbRuHWC6BPcTExMTExMTFBTk5+dnusWkW7c0f76+/17Ll0tSSIhGj1a1ar6Sr+k0SYqK\nikqfPr2Xl5fpENzX1atXvb29eUpyZgkJCQkJCWnTpjUdgvu6/ZSUNm1aX1+n+N2LfxQVFRUc\nHMxod1qeNQjhjBIStHy5GjUy3QEkSVSUlizR5s2aP1/XrklS0aIaNEhNmvBu8gAAwA0xCJHC\n2rTR/PlasUI1aphOAe4rPl7LlmnePC1ffuet5AMD1auXatdWlSpKk8Z0HwAAQMpgECKF9emj\noCCVLWu6A/hnDoe+/lp9+uj25Q+ZM6t3b9Wtq7JllT696TgAAIAUxiBECitbljUIpzVvnj79\nVPv3y89PbduqXTtVrSouVAEAAJ6DQYjktny56tQxHQE8SFycFizQ2rWaOlUOh0qX1uefq2ZN\n01kAAACpjjvUIVl99JHq1tWUKaY7gH929KhGjVKOHGrTRqGheuKJO280zxoEAACeiSOESFYd\nO2r3blWrZroDuMexY5o/XwsX6sABxcdLUosWat1aL7+swEDTcQAAAOYwCJGsnn5ay5aZjgDu\nOH5cM2bo55+1a5fsdvn6KkcOvfWW6tZVkSKm4wAAAJwAgxCPZ+tWlSnDXTjgVCIjtWCBRo7U\nsWOS5OWlkBC1a6fGjZUnj+k4AAAAZ8IgxGOYNUtt26p/fw0ZYjoFkKTwcK1apc8/V0SELBaV\nLasmTdSmjXLmNF0GAADglBiEeAx16qhSJdWqZboDni4qSgsW6PvvtXKlJPn4qH179eqlkiVN\nlwEAADg3BiEeQ8aMWr/edAQ82qpV+vlnzZypS5ckKSREzZurTh2VKmW6DAAAwBUwCPEwfvtN\nWbMqONh0Bzya3a4dO7RmjZYt05YtkhQQoDZt1KGDqlaVD7/VAAAAkoyXTkiyrVtVvbqaNdO0\naaZT4LnmzNEHH+j06TsfFium999X3brKnNloFgAAgGtiECLJSpfW88+renXTHfBEx49r3jyN\nG6dLl+TtrQYNVK+e6tVTrlymywAAAFwZgxBJ5uendetMR8CznDqlefP00093/tVLk0Z16qhv\nX1WtajgMAADAPTAIcX8REYqL44b9SGWXLmnJEq1dq127dPKkrFZJKlFC7durfn09+6zpPgAA\nADfCIMR9nDmj8uVVqJBWrpSXl+kauLmICK1fr23bNH++Tpy486CPjwoXVuvWatBAhQvLYjGa\nCAAA4I4YhLiP3Ln13HMqXVoOh+kUuLO9ezVliiZPls0mSRaLSpdW5cp66SXVqydvb9N9AAAA\nbo1BiPuwWLR4MQdlkBISE7VwoZYu1YYNOnVKkrJnV6tWCglRrVrKls1wHgAAgOdgEOK/rFZd\nuKCnnrr7CGsQySo2VlOnav587d2r69clyddXdevq5ZfVqZMyZjTdBwAA4HkYhJAkxcSocmXF\nxWn3bgUEmK6Bu4mN1eTJGjv2zvsH5sql+vX1xhsqU4Z/3QAAAExiEEKSFBio0qUVGyurlVfo\nSC6JiVq/XsuXKyxMERHy9VXLlurTR889Z7oMAAAAkhiEuOurr7iDB5LLhg0aPlwbN+rmTUkK\nClLbthowgDeNAAAAcC4MQg/2xx/Klevuh6xBPLYLFzR1qhYv1o4dkpQ7t6pWVdOmqlVL2bOb\njgMAAMD/YBB6JIdDr72mjRt14ICeeMJ0DVxbYqLCwzV3rg4d0po1io2VpDJl9MEHatLEdBwA\nAAAeiEHokSwWlSihCxfuvHgHHsnhwxo6VPPmKT7+ziPp06tXL3XurGeeMVoGAACApGEQeqp+\n/dSvH6eJ4hEkJGjfPg0erOXL5XAoe3ZVqqSqVdWokXLnNh0HAACAh8Eg9BiXLytr1rsfMgXx\nkE6d0k8/acEC7d2ryEhJKl5cXbuqc2elSWM6DgAAAI+EQegZBg3SmDHavVsFCphOgYvZvl0H\nDmjOHK1bJ5tNknLkUIsWqlVLrVvL19d0HwAAAB4Dg9Az5MunLFl0/brpDriGuDjL7t1ea9Zo\nxQqFh9958Nln9eqrattWRYoYjQMAAEDyYRB6hnbt1LSpAgNNd8DZ7dmj5ct9v/vO/8iROycV\nP/ecOnVSuXIqU8ZsGgAAAJIfg9BNRUUpQ4Z7HmEN4j4SErRli1av1sqV2r5dkq+kypUdHTpY\n6tbl/QMBAADcGYPQHX33nXr00E8/qWJF0ylwXlevavt2ffmlNm5UTMydB0uWVIcOCWXL3ipd\nOsjPz89oIAAAAFIcg9Ad5cghb29dvmy6A07HatWmTdq2TRs2aM0aJSRIUu7catxYdeqoenVl\ny6aYmMSYGJvpUgAAAKQGBqE7evllnTql9OlNd8BZxMVpzhxt2KAff1RExJ0Hc+VSs2YqV07N\nm8tiMdoHAAAAQxiEbiE6WmnT3vMIaxCSpHXr9OOPmjtX589LUqZMatFCNWqocGGVKycvL9N9\nAAAAMIpB6Po2bVKLFho9Wq+9ZjoFTuHcOe3YoWPHNGWKjh+XJH9/tW+vDh1UrhxvIg8AAIC7\nGISuL1MmXb+uP/4w3QGT/r+9e4+qqs7fOP4cOAoeULziLRVMFBUGb3hBRVIGGkudyhnJzEKn\nmou20tHWtMxWzrJZlpn+WmIXdWpGmgVTyzRXmml5SyHEhBQUU0aZpEzjJnc4nN8fhwEqkSMh\nGzjv119nf/d3bz8H+7h52rfCQh0+rLQ0vfuuTpxQVZUkubhoyhT9/veaPp1zxgAAALgBAmHr\nN2yYLl5Ut25G14HmVlqqlBTt3av339epU9UhUNIvfqGZM+Xrq8mT5ednaIkAAABo2QiErVBF\nhVxdf3D7F2nQmXz9tbZt086d+vJLlZRIksmkkSM1dqxCQzV0qEaMMLpEAAAAtBIEwtbm/HnN\nmaOoKC1fbnQpaD45OUpN1fnz2rxZycmy2STJx0ehoQoJ0b33qm9fo0sEAABAK0QgbG08PZWV\npYwMo+tAc/j6a737rjIz9Y9/6Pr16sGhQzV/vqKi5ONjZG0AAABoAwiErU2vXvryS/XubXQd\nuI2+/147d+r99/XRR6qslKQOHfTHP6pfP0VEaMQIXhcBAACApkEgbA0qKtSuXe0iabCNSknR\n55/rgw+0Z0/1RaH9+mnRIk2eLH9/delidH0AAABocwiELVtOjhYuVL9+evVVo0vBbWG1KjFR\n27frgw+q3xkoacgQzZ6tmTM1ZgwnAwEAAHAbEQhbNjc3paXp2jWVl6t9e6OrQdPIzdWxYzpx\nQunp+uwzXb4sSa6umjhR99+vwYMVHi53d6OrBAAAgBMgELZsHh765BP16SNXV6NLwc9VUqJj\nxxQXp3feqX5dhKQOHXT//YqKUliYevQwtD4AAAA4HwJhy1NV9YPLBPv1M64UNIHCQu3cqXfe\n0d691e+O795d0dEaP16jR8vfn4tCAQAAYBgCYUtSXq4VK3ThgrZvN7oU/Fzp6frnP5WQoM8+\nq86BgwYpOFj33KN775WXl9H1AQAAAATClsXVVQkJys7WlSvq2dPoanDL7CcDk5KUmKjjx6uf\nFDpsmKZM0a9/rfBwTgYCAACgZSEQtiSuroqPV6dO6tjR6FJwCyortX+/Nm7Uvn0qL68e9PXV\nsmWaOVN33GFocQAAAED9CIRGs9lkMtUu9u1rXCm4BRUVOnpUn3yiY8eUlKTCQknq1Uu//a0i\nIjR+vLp1M7pEAAAAoCEEQuPYbHrjDcXHa98+mfmLaB2qqnTunGJitH27srOrB/v00a9/reho\nTZ1qaHEAAADALSKHGMdk0oEDOnlSp09rxAijq8HNFBVp717FxCghofqNER06aM4cRUYqIoLT\nugAAAGitCISGeu01FRaqf3+j68CPZWQoNVWnT+v0aZ09qwsXqm8O9PHRiBGaPl1z58rDw+gq\nAQAAgJ+HQGiorl3VtavRRaBWTo4OH9b//Z8OHqwdtFg0dKgmTNCcOQoLM6o0AAAAoOkRCJvR\n/v1atUoffqhOnYwuBT9QVaX4eG3bVvvu+KAgPfCAAgI0dKj8/Y2uDwAAALg9CITNaO9eJSbq\nwAHNmmV0KZCkY8e0b5/271dmZvUTYoYM0V136cEHFRpqdHEAAADA7UcgbEarV+vBBzVqlNF1\nOK/8fB06pP/8R2lpOnVKx4/LapUkLy898ICWLlVIiNElAgAAAM2IQNiM3NxIg4Y4f17Hj2vb\nNn36qcrKasdHjNCCBbrnHg0caFxxAAAAgHEIhLfNmTNavOxAIGkAABaySURBVFh//zsPEW1+\n588rPV3nz+voUaWmKjNTNpsk9e+vGTM0apSGDNGoUerQwehCAQAAAEMRCG+bTz7RJ58oPl7L\nlxtdilPIyNCOHUpJUWqqzp2rvhZUksWi8eMVHq6pU3lGKAAAAPADBMLb5k9/0tChmjbN6Dra\nsmvX9K9/6fBhJScrK6v6NGD79ho+XDNmaMAABQcrMFCurkYXCgAAALRIBMLbxmQiDTY5m01f\nfaXERB08qBMn9OWX1ePu7goJ0f33KyxMgYFq187QKgEAAIBWgkDYRK5e1eLFeuYZBQUZXUpb\n8+23+uQTHTigI0eUna3Cwupx+5nA8HD97ncaMoQQCAAAANwyAmETSUxUfLw8PLR1q9GltHoF\nBTpwQPn5OnZMCQm1pwE7ddIdd8jfX8HBGj9eEybwVBgAAADgZyEQNpEZM7Rrl371K6PraMUu\nX9a//qW//11nz9YOmkwaO1aTJyssTNOmkQABAACApkQgbDr33mt0Ba3M2bNKSNCZM/rmG50/\nrxMnVFEhs1kjRigsTL6+GjxYkybJ09PoQgEAAIA2ikDYKGVlWrlS06YpMtLoUloNq1WHDund\nd12//9799Gnl5urbb38wwcdHUVF6/HH5+hpUIgAAAOBkCISNkp6u9et17BiB8CbKy3X2rPbt\nU1aW0tKUkKDiYkmuktq1U+/eioxUWJiGD5efn7y91bWr0RUDAAAAToZA2CgjR2r7dk2ZYnQd\nLVF5uY4dU1yc/v1v5ebWjvfvr3HjNHt25Z13lgcGWtq3N65EAAAAAJIIhI03Y4bRFbQUhYVK\nSFBmpk6cUHa2Dh5UUZEkdeigGTM0frzCwtS3rwYMkKTy8qry8irSIAAAANASEAgdYLPpzTfl\n5qZHHzW6lJYiJ0enTikpSYcP6/BhFRTUrureXXPmaPx4zZ6tLl2MKxEAAABAQwiEDvjmGz39\ntDp21IMPys3N6GoM8803evttnTun1FSlpMhmqx7v0EHR0fL319ixCghQ9+6GVgkAAADAYQRC\nB/Tpo7g4DRvmbGmwslJnz+rTT/Xll0pJ0enTKiurXuXnp7AwjRqlu+7SkCGGVgkAAACgsQiE\njnGON86XlenSJX3+uS5c0JEjOnq0NgG6usrPTwsWaMoUBQTIYjG0UAAAAABNgUB4I/v26fRp\nLVlidB3NISND336rI0eUkaGdO3X9eu2qvn0VEqJx4zRligYPVqdOxlUJAAAA4DYgEP5EaakW\nLtR33ykqSr17G11NU7LZdOWK9u3TyZPKzFRKinJzf/A8mC5dNHOmgoIUHKwhQzRwoMz8BwIA\nAAC0Xfy+/xPu7oqNlZtb20iDVVX68kvt36+dO5Werpyc2lUeHvL3V9euCg7W4MEaNUpDhogX\nQgAAAADOg0B4I6GhRlfwsxQX64sv9J//6KOPtHNn9VsBJfn4aORIBQUpMlKDBqlPH7m7G1oo\nAAAAAEMRCKUzZ7R9u1asMLqOnysjQ59+qi1bdPJk7TshunZVeLhGjVJUlAYPNrQ+AAAAAC0M\ngVBauFAJCQoP17hxRpfiqOvXdfKkDhzQqVO6eFG5ufrmG5WUVK8NDJS/vyZP1pAhmjqV+wAB\nAAAA3BhZQXrzTaWltfw0eOWKYmN18qT279eVK7XjLi7q0UO+vurXT2FhiozUyJHGVQkAAACg\n9SAQSgEBCggwuogbKC/XF1/o88917JhSU5WZqYoKSfLwUGiovL0VGakJEzRwoDp0MLpWAAAA\nAK2Q8wXCa9e0aZOefVYuLkaXUqukROfOKS9PFy4oMVFnz+rECRUX104wmzVkiH77W82YoaFD\neRgMAAAAgCbgfIFwyRLFxmrgQM2bZ1QJ167p/HlduqSkJB0+rHPnfvAyQLuePTVxonr31rhx\nGjtWgYFyczOiVgAAAABtl/MFwhdfVGCgoqKa88+8dElXrujoUR0/rqQkZWbWPgXUxUV33qnA\nQPn6yttbfftq1CiNGKHOnZuzQAAAAADOyPkCYZ8+evrp27HjsjL997/Kz9eVK0pKUlGRTp3S\nV18pJ0d5ebXTPDw0dqxGjlTPngoK0tSp8vK6HeUAAAAAQAPaeiAsK9Orr2rx4qa96668XKmp\nOnhQ33yjr75SXp6ysnT5sqzWH8/s2FHe3po8Wb6+8vXVhAkaOVLt2zdhLQAAAADQSM0UCG02\nW2xs7KFDh6xWa0hIyIIFC1xdXR2c48i29VqzRs8/r6IiPf98o4svLFRWlnJyVFCgQ4eUnq5P\nP/3BE18k9eihUaPk46POndW5s4KD1bWrBgzQwIEt6uE1AAAAAFCrmQJhXFzcnj17Fi1aZDab\nY2JibDbb448/7uAcR7at15//rOJiLV3qeKlVVcrP1+XL+vxz7dmj5GRduvTjOb16afp0TZ2q\nESPUs6cGDnR89wAAAADQUjRHILRarbt373744YdDQkIklZWVbdy48ZFHHnGr89zM+uaYzeYG\nt70ZT0+9+OIN1xQVqbxcV66oqEgFBUpPV2qqjhzRxYsqLa2d5uGhiRPVq5d69lTXrvL318SJ\n8vFp9A8DAAAAAFqK5giEFy9ezM/PHz16tH1x9OjRJSUl586dCwwMbHCOxWJpcNu6TDk5unZN\n3btLun5dlZXKy1NlpbKylJmplBSlpenMGX333Y1LbddOw4erZ095eysgQMHBmjKFaz4BAAAA\ntE3NEQhzc3MldevWzb5osVjc3d3z6j55s/45ZWVlN99206ZNCQkJ9s9uJtf/Xrt2b9ivM6t8\nb1JPz57q189mMsnFRWazXFzk4iI3N1uHDnJ3t9nvT6ysVEqKUlK0eXMT/ARQl81mM5lMRleB\netlsNkn8HbVw9FHLRyu1CrRSC0cftQr0UQtnq3nfXT2aIxAWFha2a9eu7pNgLBbL9evXHZlj\ntVpvvm12dvaZM2fsn00mk83F5Vv3UovONFiVzSartfa5oEVFjflqAAAAANCSmUym77//vr61\nzREIPT09KyoqrFZrTa4rLi729PR0ZI7FYrn5tqtXr169erX9c0hIiK+v7zvvvHPbvxLQdm3d\nuvW1115bv3795MmTja4FaMWCg4OHDx/+9ttvG10I0Iq9/vrrW7ZsiYmJGTdunNG1AK1VRUXF\nhAkTevbsWd+E5rg9rkuXLvrfRaGSSktLS0tL7YMNznFkWwAAAABAIzRHIPTx8fHy8kpJSbEv\npqamuru7+/n5OTLHkW0BAAAAAI3QHJeMurq63n333bGxsX369HFxcdm6dWtERIS7u7ukvXv3\nlpWVzZw58yZz6hv/qalTp3p7ezfDNwLaMF9f3/Dw8B49ehhdCNC6hYeH9+vXz+gqgNZt4MCB\n4eHhXbt2NboQoBVzcXEJDw/39a33oZumBh870yRsNtu2bdsOHTpUVVU1ceLE6Oho+z2Bzz//\nfEFBwSuvvHKTOfWNAwAAAAB+jmYKhAAAAACAloZ3rgMAAACAk2qOewibkNVqnT9//saNG2/4\noFGbzRYbG3vo0CGr1RoSErJgwYKai05vOA44mwZ7wWq1VlRU/GgrFxeX9u3b/3RVfXfzAm2e\nI4eV+lqGQxJg50gvFBYW/uMf/zh+/HhpaemwYcMWLlzYt29f1d9fgBNypJVunpJaUyAsLy+P\ni4v70Rvt64qLi9uzZ8+iRYvMZnNMTIzNZnv88cdvMg44mwZ7ITEx8cUXX/zRVlOnTn3qqafe\nf//9f/7znzWDLi4uO3bsaI6igZbHkcNKfS3DIQmwc6QXNm3adP78+UWLFlkslvj4+BUrVsTE\nxHh4eHBIAmo40ko3T0mtJhDu2rXrrbfeqqysrG+C1WrdvXv3ww8/HBISIqmsrGzjxo2PPPKI\n2Wy+4bibm1vzVQ+0APX1SN1eCAwMXLNmTc1iaWnp2rVrJ02aJOny5cvjxo277777mr9yoEVx\npJVUT8s4uC3Q5jnSC0VFRZ999tnKlSvHjBkj6S9/+cv8+fOPHz8eFhbGIQmwc6SVGkxJrSYQ\nhoaG/uIXv8jKylq7du0NJ1y8eDE/P3/06NH2xdGjR5eUlJw7d85isdxwPDAwsJlKB1qG+nqk\nbi906tRp2LBhNYuvvvpqZGSk/Uh8+fLlkJCQumsB5+RIK6melnFwW6DNc6QXcnJyBg0a5O/v\nb190d3d3c3PLzc0VhyTgfxxppQZTUqsJhF5eXl5eXj+9u6mG/R+Ibt262RctFou7u3teXl5Z\nWdkNx29/yUDLUl+P1Dc/OTk5LS0tJibGvpidnX369Oldu3aVlpYOHTo0OjrafiMH4GwcbKUb\ntsyttiHQVjnSC/369bO/mczu6NGjBQUFQ4cOFYck4H8caaUGU1LbecpoYWFhu3bt6t5DabFY\nrl+/Xt+4ETUCRrqlXrBarW+99dajjz5qNpslXb9+vaCgoLKy8sknn1y2bFlRUdGKFSuKioqa\nqXSgJXGkleprGQ5JgN2tHpJ27Njx8ssvR0RE+Pv7c0gCajjSSg2mpFZzhrBBnp6eFRUVVqu1\n5tsWFxd7enpaLJYbjhtXKWCM+nrkhpMPHDjQrl278ePH2xctFsuWLVu6detm33bQoEHR0dGJ\niYnTpk1rnuKBlsORVqqvZeyXunBIAhw/JF26dGndunXffvvtwoUL7733XnFIAupwpJUaTElt\n5wyh/UUU9lOikkpLS0tLS7t06VLfuFF1AkZxvBdsNtuuXbsiIyNNJpN9xNXV1dvbu+bfkY4d\nO3p7e1+7dq1ZCgdaFkdaqb6W4ZAE2DnYC6dOnVq6dKm3t/cbb7wxY8YM+1GJQxJQw5FWajAl\ntZ1A6OPj4+XllZKSYl9MTU11d3f38/Orb9y4SgFjON4LGRkZW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      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# ROC\n",
    "idx <- order(-pred)\n",
    "recall <- cumsum(true_y[idx]==1)/sum(true_y==1)\n",
    "specificity <- (sum(true_y==0) - cumsum(true_y[idx]==0))/sum(true_y==0)\n",
    "roc_df <- data.frame(recall = recall, specificity = specificity)\n",
    "ggplot(roc_df, aes(x=specificity, y=recall)) +\n",
    "  geom_line(color='blue') + \n",
    "  scale_x_reverse(expand=c(0, 0)) +\n",
    "  scale_y_continuous(expand=c(0, 0)) + \n",
    "  geom_line(data=data.frame(x=(0:100)/100), aes(x=x, y=1-x),\n",
    "            linetype='dotted', color='red') +\n",
    "  theme_bw()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-04-23T16:10:57.976981Z",
     "start_time": "2019-04-23T16:10:44.000Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "0.307382991981499"
      ],
      "text/latex": [
       "0.307382991981499"
      ],
      "text/markdown": [
       "0.307382991981499"
      ],
      "text/plain": [
       "[1] 0.307383"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sum(roc_df$recall[-1] * diff(1 - roc_df$specificity))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Strategies for Imbalanced Data"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "给的数据集和书上数据集不一致..."
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "R 3.5",
   "language": "R",
   "name": "ir35"
  },
  "language_info": {
   "codemirror_mode": "r",
   "file_extension": ".r",
   "mimetype": "text/x-r-source",
   "name": "R",
   "pygments_lexer": "r",
   "version": "3.5.3"
  },
  "toc": {
   "nav_menu": {},
   "number_sections": false,
   "sideBar": true,
   "skip_h1_title": false,
   "title_cell": "Table of Contents",
   "title_sidebar": "Contents",
   "toc_cell": false,
   "toc_position": {},
   "toc_section_display": true,
   "toc_window_display": true
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
